Simplify and write the answer in the exponential form.
${(18)}^{5} \div {(18)}^{2}$

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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: Given expression: ${(18)}^{5} \div {(18)}^{2}$
Step 2: Solution:
Using the above law:
${(18)}^{5} \div {(18)}^{2} = {(18)}^{5 - 2} {x^{a} \div x^{b} = x^{a - b}} = {(18)}^{3}$
${(18)}^{3}$ , this is the required exponential form.
Final Answer: ${(18)}^{3}$ , this is the required exponential form.

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