Chapter 4, Problem 23CT

To determine

To write the expression only using positive exponents $16h^{-7}$

Answer to Problem 23CT

  $16{\left(\frac{1}{h}\right)}^7$

Explanation of Solution

Given information:

Number $16h^{-7}$

Formula Used: Negative Exponent Rule

Calculation:

The Negative Exponent Rule says that when the exponents are negative, the numerator gets moved to the denominator and makes the exponent positive.

In the number $16h^{-7}$ , the numerator is h and the denominator is 1.

The above may also be written as-

  $=16{\left(\frac{h}{1}\right)}^{-7}$

On applying the negative exponent rule, the numerator & denominators will be reversed, and the exponent will become positive.

  $=16{\left(\frac{1}{h}\right)}^7$

So the numerator now becomes 1, the denominator changes to h, and the exponent becomes positive.

Conclusion-

  $=16{\left(\frac{1}{h}\right)}^7$