Question

Which expression is equivalent to 4^6 • 4^-8

Answer 1

Answer:

$\huge\boxed{4^{-2}}$

Step-by-step explanation:

If we have the expression $4^6 \cdot 4^{-8}$, our goal is to simplify it.

Using exponent rules, we know that $a^b \cdot a^c = a^{b+c}$.

Therefore, we can add our exponents (since we have the same base, 4) to get our simplified expression.

$6 + -8$

Adding a negative is the same as subtracting a positive.

$6 - 8 = -2$

Now we raise 4 to that power.

$4^{-2}$

Hope this helped!

Answer 2

4^-8 = 1/(4^8)

(4^6) x (1/4^8) = (4^6)/(4^8)

Simplify. Note that when dividing with powers, subtract the powers (if the base is the same number)

(4^6)/(4^8) = 4^(6 - 8)

4^(6 - 8) = 4^(-2)

4^(-2) = 1/(4^2)

1/(4²) = 1/16

1/16 is your answer

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