Rational Exponents Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Rewrite the expression as a product of identical factors to find the product for 10032
. Submit your answer in simplified form.



(1 point)
Remaining Attempts : 2

Answer 1

To rewrite the expression \( 100^{3/2} \) as a product of identical factors, we can follow these steps:

1. Rewrite the expression using the definition of rational exponents. The expression \( 100^{3/2} \) can be expressed as: \[ (100^{1/2})^3 \]

2. Calculate \( 100^{1/2} \), which is the square root of 100: \[ 100^{1/2} = 10 \]

3. Now substitute \( 10 \) back into the expression: \[ (10)^3 \]

4. Finally, calculate \( 10^3 \): \[ 10^3 = 1000 \]

Thus, the simplified form of \( 100^{3/2} \) is \( 1000 \).