Question

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Answer 1

Answer:  $\frac{2^{6}}{2^{8}}= 2^{-2}$    $2x^{-2} =\frac{1}{4}$

$\left(-6\right)^{6}\cdot\left(-6\right)^{-4}=36$

Step-by-step explanation:

When dividing by the same number with a different exponent, subtract the exponent in the denominator from the exponent in the numerator.

A negative exponent means to take the reciprocal of the power.

2² = 4  but since  it is $2^{-2}$  the result is the reciprocal of 4 which is 1/4

When Multiplying the same base with different exponents, add the exponents.

6 + (-4) = 2  so   $\left(-6\right)^{6}\cdot\left(-6\right)^{-4}$  becomes -6² = 36