Question

which choices are equivalent to the exponential expression below? check all that apply. (2/3)^3


A. 6/9

B. (2/3) x (2/3) x (2/3)

C. 8/27

D. 2^3 /3^3

E.16/81
F. 3 x (2/3)

Answer 1

Answer:

B. (2/3) x (2/3) x (2/3)

C. 8/27

D. 2^3 /3^3

Step-by-step explanation:

You need to know the following property

$\LARGE \left(\frac{a}{b} \right)^c = \frac{a^c}{b^c}$

Exponent also means you're multiplying the same number for an 'n' number of times.

For example, 2^3 = 2 * 2 * 2

we multiply it by itself 3 times since 3 is the exponent.

x^y

x is the base, y is the exponent

we read it as x to the power of y

If the exponent is 2, we say it as x squared

If the exponent is 3, we say it as x cubed