Question

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

${\left(-9x\right)}^4$

Answer 1

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

Step 1: Given expression: ${\left(-9x\right)}^4$

Step2: Solution:

Using the above law of exponents:

${\left(-9x\right)}^4={(-9)}^4\times {\left(x\right)}^4;\{Because{\left(xy\right)}^b=x^b\times y^b\}$

${(-9)}^4\times {\left(x\right)}^4$, this is the required exponential notation.

Hence ${(-9)}^4\times {\left(x\right)}^4$, this is the required exponential notation.