Question

Use the property of exponents to simplify each expression \[(16x^4)_{2}^{3}\]

Answer 1

supposed to be 3/2

Answer 2

i am going to make a guess that this is
\[(16x^4)^{\frac{3}{2}}\] is that right?

Answer 3

yes

Answer 4

Exponents in that format can be multiplied together

Answer 5

So youve got 16^12/2

Answer 6

\[16x ^{12/2}\]

Answer 7

k

Answer 8

or 16x^6

Answer 9

ok then we write
\[16^{\frac{3}{2}}(x^4)^{\frac{3}{2}}\] then
\[16^{\frac{3}{2}}=\sqrt{16}^3=4^3=64\] and and
\[(x^4)^{\frac{3}{2}}=x^{4\times \frac{3}{2}}=x^6\]

Answer 10

hi satellite73

Answer 11

hello
for a final answer of
\[64x^6\]

Answer 12

btw it is not \(16x^6\) because you have to raise 16 to the 3/2 power as well, since it is inside parentheses

Answer 13

sorry :P

Answer 14

so you just combine the two parts together for the final answer

Answer 15

yes, final answer is \(64x^6\)

Answer 16

ty satellite :)