Question

(-2)^-5 X (-2)^6
is equal to
(a) 2
(b)-2
(c)-5
(d) 6.​

Answer 1

Answer:

YOUR ANSWER IS

Step-by-step explanation:

(b)-2

(-2)^-5*(-2)^6=-2

Answer 2

Given Data:   $(-2)^{-5}$ × $(-2)^{6}$ is equal to

                     (a)  2

                     (b) -2

                     (c) -5

                     (d)  6.​

To Find:    $(-2)^{-5}$ ×$(-2)^{6} = ?$

Solution:

• To solve this Question we need use the Law of Exponent.
• If the base number is same when multiplying, then the exponents will be added this is called as Law of exponent for multiplication.
• For example, if we multiply $2^{2}$ × $2^{2}$ we get $2^{2+2} = 2^{4}$.

• Calculating $(-2)^{-5}$ ×  $(-2)^{6} = (-2)^{-5+6}$ ; $(-2)^{1}$.
• Hence $(-2)^{-5}$ × $(-2)^{6} = -2$.