How do you evaluate (- \frac { 3} { 4} ) ^ { 3} \times ( - 8) ^ { 2}?

2 Answers
Dec 24, 2016

-27

Explanation:

(−3/4)^3 is the same thing as (−3/4) * (−3/4) * (−3/4)

If you multiply straight across, and take into consideration that 3 negatives equals a negative, then the first part is the same thing as (-27/64).

The second part, (-8)^2, is saying -8 * -8, which is positive 64 since a negative times a negative is a positive. Now you can multiply the two parts together:

-27/64 * 64/1

-27/1 (because the 64 on the top and bottom cancel out)

the answer is -27.

Dec 24, 2016

-27

Explanation:

(-3/4)^3 * (-8)^2

A number to the third power (cubed) is the number multiplied by itself three times. A number to the second power (squared) is the number multiplied by itself two times.

A negative number raised to an odd power is negative and a negative number raised to an even power is positive.

(-3/4)(-3/4)(-3/4) xx (-8)*(-8)

-27/64xx64

-27/cancel64xxcancel64

-27