High School Math : High School Math

Example Questions

Example Question #41 : High School Math

Explanation:

When a number is raised to a power it means that the number is multiplied by itself the same number of times as the number of the power.

In this case  is raised to the  power so it is equivalent to

We then perform the necessary multiplication to arrive at the answer of .

Example Question #42 : High School Math

Convert to standard notation.

Explanation:

Because the exponent is negative, we have to move the decimal four places to the left. We need to add three zeroes between the decimal the number three.

Example Question #42 : High School Math

Simplify the fractional expression.

Explanation:

Simplifying exponents with a common base can be done by subtracting the exponent in the denominator from the exponent in the numerator.

This gives us the final answer, .

Example Question #43 : High School Math

Evaluate the term.

Explanation:

A negative exponent can be written as a positive exponent in the denominator of a fraction.

Now we can evaluate the exponent and simplify.

Example Question #44 : High School Math

What is ?

Explanation:

When you see an exponent, remember it just means the number times itself that many times. That means that  is just another way to write .

From here, we can solve it all together in a calculator, or do it in pieces on our own.

Example Question #45 : High School Math

What is ?

Explanation:

Remember, an exponent just means the number times itself that many times.

That means that  is just another way to write . From here, we can solve.

Example Question #46 : High School Math

What is ?

Explanation:

Remember, an exponent just means the number times itself that many times.

That means that  is the same as . From here we can either plug it into the calculator or solve in pieces.

Example Question #47 : High School Math

What is ?

Explanation:

Remember, an exponent just means the number times itself that many times.

That means that  is the same as . From here, either plug it in your calculator or solve in pieces.

Example Question #49 : High School Math

Find the value of three raised to the fourth power?

Explanation:

"Three raised to the fourth power" tells us that three is to be multiplied by itself four times.

What is  ?