Question

simplify the following using laws of exponents.
${9}^{2} \times {9}^{18} \times {9}^{10}$
​

Answer 1

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${9}^{30}$

step-by-step explanation:

Given,

${9}^{2} \times {9}^{18} \times {9}^{10}$

we know that,

${a}^{m}$ × ${a}^{n}$ = ${a}^{(m+n)}$

now,

here,

a = 9

m = 2

n = 18

p = 10

so,

according to this property,

we get,

=

${9}^{(2+18+10)}$

= ${9}^{30}$

✍️ These are the properties of exponent and powers which are very useful to calculate and reduce long and difficult expression.