Question

(2/3)^3x(2/3)^4 write as a single power, then evaluate.

Answer 1

Answer:

$\frac{128}{2187}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

$(\frac{2}{3}) ^{3}$ × $(\frac{2}{3}) ^{4}$

= $(\frac{2}{3}) ^{(3+4)}$

= $(\frac{2}{3}) ^{7}$

= $\frac{2^{7} }{3^{7} }$

= $\frac{128}{2187}$

Answer 2

Answer:

128/2187

Step-by-step explanation:

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

=(2/3)^3+4

=(2/3)^7

=2^7*3^7

=128/2187