Question

Simplify the following and write the answer in the exponential notation.

${\left(\frac{13}{-15}\right)}^3$

Answer 1

Hint: We know one of the law of exponents: ${\left(\frac{x}{y}\right)}^a=\frac{{\left(x\right)}^a}{{\left(y\right)}^a}$

Step 1: Given expression: ${\left(\frac{13}{-15}\right)}^3$

Step2: Solution:

Using the above law of exponents:

${\left(\frac{13}{-15}\right)}^3=\frac{{\left(13\right)}^3}{{(-15)}^3}\left\{U\sin g{\left(\frac{x}{y}\right)}^a=\frac{{\left(x\right)}^a}{{\left(y\right)}^a}\right\}$

$\frac{{\left(13\right)}^3}{{(-15)}^3}$, this is the required exponential notation.

Final Answer: $\frac{{\left(13\right)}^3}{{(-15)}^3}$, this is the required exponential notation.