Question

evaluate the following
a) (-4)^-2
b)(1/2)^-3
c)3^-2*3^-5
d)2^-3 *(-7)^-3
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Answer 1

Answer:

Hii... friend...here is your answer....

$(a) {( - 4)}^{ - 2} \\ = 16 </p><p>\\( b) { \frac{1}{2} }^{ - 3} = \frac{1}{8} \\</p><p> (c) {3}^{ - 2} \times {3}^{ - 5} \\ = - 2187 \\ </p><p>(d) {2}^{ - 3 } \times { - 7}^{ - 3} \\ = 2744$

Hope it helps u....

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Answer 2

Step-by-step explanation:

a)

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

b)

$(\frac{1}{2} )^{ - 3} = ( \frac{1}{8} )^{ - 1} = 8$

c)

${3}^{ - 2} \times {3}^{ - 5} \\ = \frac{1}{9} \times \frac{1}{243} \\ = \frac{1}{2187}$

d)

${2}^{ - 3} \times { - 7}^{( - 3)} = \frac{1}{8} \times \frac{1}{343} \\ = \frac{1}{2744}$

These are the answers.

Things to remember

• Whenever there is negative exponent the answer will be the reciprocal pf the result.
• Even exponents change negative signs into positive
• Positive remains the same in -ve and +ve