Exponents

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Math › Exponents

Questions 1 - 10
1

Expand

Explanation

When expanding exponents, we repeat the base by the exponential value.

2

Simplify:

Explanation

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

3

Simplify:

Explanation

When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.

Multiply:

4

Simplify

Explanation

Combine all like variables. We only have the variable 'x', so we can skip that step. to multiply or divide exponents, you add, so you get 3 + (-4) + 7 = 6. The answer is

5

Simplify:

Explanation

When multiplying exponents with the same base, we add the exponents and keep the base the same.

6

Solve for .

Explanation

When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents.

With the same base, we can now write

Add and subtract on both sides.

7

Evaluate:

Explanation

When dealing with negative exponents, we write . Therefore .

8

Solve for .

Explanation

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

With the same base, we can now write

Subtract on both sides.

9

Simplify.

Explanation

When dividing exponents, we must first check to see if the factors have the same base. If they have the same bases, then we can subtract the exponents.

10

Multiply:

Explanation

The bases of the exponents are common. This means we can add the fractions.

The least common denominator is six.

This becomes the power of the exponent.

Break up the fraction in terms so that each can be reduced.

Since we do not know term , it can be rewritten in base two, and .

Rewrite this term as a replacement of , and multiply the power of the exponent in base two with the power of the exponent in base eight.

Simplify the terms. A value to the power of one-half is the square root of that number.

The answer is:

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