Question

49^-1/2 • 64^2/3
Express answer in simplest form (show work plz)​

Answer 1

~Hello There!~

Anything to a negative power, turns it into 1 over that number.

Therefore $49^{-\frac{1}{2} }  = \frac{1}{49\frac{1}{2} }$

Anything to the power of a half, means you have to square root it.

Therefore, the first part is now $\frac{1}{7}$

When you have a fraction as a power and both numbers are above one:

You must 'root' it by the denominator and put it to the power of the top number.

Therefore, $\sqrt[3]{64} = 4$

$4^{2}$ = 16

Now we have:

$\frac{1}{7} * 16$

Simply divide 16 by 7 to get the answer:

2.285714

However, since it is a long number, you can just leave it as $\frac{16}{7}$

Hope This Helps You!                                                                                      

Good Luck :)                                                                                                      

Have A Great Day ^_^

- Hannah ❤