Rational Exponents: CCSS.Math.Content.HSN-RN.A.1 - Common Core: High School - Number and Quantity
Card 0 of 44
Evaluate: 
Evaluate:
The first part to solving this problem is reducing the exponent, and then solving.

The first part to solving this problem is reducing the exponent, and then solving.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To solve this, let's reduce the exponent, and then solve.

To solve this, let's reduce the exponent, and then solve.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.

Now lets break down the square root.

To evaluate this, let's rewrite the problem.
Now lets break down the square root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.
![64^{\frac{1}{3}}=\sqrt[3]{64}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/975684/gif.latex)
Now lets break down the cube root.
![\sqrt[3]{64}=\sqrt[3]{4\cdot4\cdot4}=\sqrt[3]{4^3}=4](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/975685/gif.latex)
To evaluate this, let's rewrite the problem.
Now lets break down the cube root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.
![64^{\frac{2}{3}}=(\sqrt[3]{64})^2](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/977390/gif.latex)
Now lets break down the cube root.
![(\sqrt[3]{64})^2=(\sqrt[3]{4\cdot4\cdot4})^2=(\sqrt[3]{4^3})^2=4^2=16](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/977391/gif.latex)
To evaluate this, let's rewrite the problem.
Now lets break down the cube root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.

Now lets break down the square root.

To evaluate this, let's rewrite the problem.
Now lets break down the square root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.

Now lets break down the square root.

To evaluate this, let's rewrite the problem.
Now lets break down the square root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To solve this, let's reduce the exponent, and then solve.

To solve this, let's reduce the exponent, and then solve.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
One to any power is just
, so 
One to any power is just , so
Compare your answer with the correct one above
Evaluate: 
Evaluate:
Zero to any power is just
, expect when the power is
. So 
Zero to any power is just , expect when the power is
. So
Compare your answer with the correct one above
Evaluate: 
Evaluate:
Zero raised to the zero is equal to one, otherwise it is equal to zero. 
Zero raised to the zero is equal to one, otherwise it is equal to zero.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.

Now lets break down the square root.

To evaluate this, let's rewrite the problem.
Now lets break down the square root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.
![64^{\frac{1}{3}}=\sqrt[3]{64}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/975684/gif.latex)
Now lets break down the cube root.
![\sqrt[3]{64}=\sqrt[3]{4\cdot4\cdot4}=\sqrt[3]{4^3}=4](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/975685/gif.latex)
To evaluate this, let's rewrite the problem.
Now lets break down the cube root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.
![64^{\frac{2}{3}}=(\sqrt[3]{64})^2](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/977390/gif.latex)
Now lets break down the cube root.
![(\sqrt[3]{64})^2=(\sqrt[3]{4\cdot4\cdot4})^2=(\sqrt[3]{4^3})^2=4^2=16](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/977391/gif.latex)
To evaluate this, let's rewrite the problem.
Now lets break down the cube root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.

Now lets break down the square root.

To evaluate this, let's rewrite the problem.
Now lets break down the square root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To evaluate this, let's rewrite the problem.

Now lets break down the square root.

To evaluate this, let's rewrite the problem.
Now lets break down the square root.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To solve this, let's reduce the exponent, and then solve.

To solve this, let's reduce the exponent, and then solve.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
One to any power is just
, so 
One to any power is just , so
Compare your answer with the correct one above
Evaluate: 
Evaluate:
The first part to solving this problem is reducing the exponent, and then solving.

The first part to solving this problem is reducing the exponent, and then solving.
Compare your answer with the correct one above
Evaluate: 
Evaluate:
To solve this, let's reduce the exponent, and then solve.

To solve this, let's reduce the exponent, and then solve.
Compare your answer with the correct one above