Simplify and write the answer in the exponential form.
${(- 7)}^{18} \div {(- 7)}^{16}$

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Solution

Hint: We know the law of exponents that is powers with same base: $x^{a} \div x^{b} = x^{a - b}$
Step 1: Simplify the given expression.
Given expression: ${(- 7)}^{18} \div {(- 7)}^{16}$
Using the above law:
${(- 7)}^{18} \div {(- 7)}^{16} = {(- 7)}^{18 - 16} {x^{a} \div x^{b} = x^{a - b}} = {(- 7)}^{2}$
${(- 7)}^{2}$ , this is the required exponential form.
Hence, ${(- 7)}^{2}$ is the required exponential form.

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