Question

Solve the question with full explanation

$81 \times {3}^{ - 2}$
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Answer 1

Answer:

9

Step-by-step explanation:

$81 \times {3}^{ - 2} \\ = 81 \times \frac{1}{ {3}^{2} } \\ = \frac{81 \times 1}{3 \times 3} \\ = \frac{81}{9} \\ = 81 \div 9 \\ = 9$

Hence the answer is 9.

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More to remember :-

• The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base. It means :- (by example)

${2}^{ - 4} = \frac{1}{ {2}^{ 4} } \\ = \frac{1}{2 \times 2 \times 2 \times 2} \\ = \frac{1}{16}$

All number have same thing like this.

‘----’ = end

After that is only for your information.

hope it helps.