Question

Need help ASAP! Which is the simplified form of the expression StartFraction (6 Superscript negative 4 Baseline) Superscript negative 9 Baseline Over 6 Superscript 6 Baseline EndFraction? StartFraction 1 Over 6 Superscript 42 Baseline EndFraction StartFraction 1 Over 6 Superscript 19 Baseline EndFraction 6 Superscript 6 6 Superscript 30

Answer 1

Answer: D. $6^{30}$

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

$\frac{6^{36}}{6^6}$

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is $6^{30}$