Question

Write each expression as a power

a.) (-5) x (-5) x (-5)

b.) 1.05x1.05x1.05x1.05x1.05x1.05

c.) (- 3/5)x(-3/5)x(-3/5)

Answer 1

see explanation

Explanation:

(a)

- 5 × - 5 × - 5 ← - 5 is being multiplied by itself 3 times , then

= (- 5)³

(b)

1.05 is being multiplied by itself 6 times , then

=
`1.05^(6)`

(c)

-
`(3)/(5)` is being multiplied by itself 3 times , then

=
`(-(3)/(5)) ^(3)`

Answer 2

(a).

`{ \tt{( - 5) * ( - 5) * ( - 5) \dashrightarrow \: ( - 5) {}^(3) }}`

(b)

`{ \tt{1.05 * 1.05 * 1.05 * 1.05 * 1.05 * 1.05}} \\ \hookrightarrow \: { \tt{ {1.05}^(6) }}`

(c)

`{ \tt{( ( - 3)/(5) ) * ( ( - 3)/(5) ) * ( ( - 3)/(5) ) \dashrightarrow \frac{( - 3) {}^(3) }{ {5}^(3) } }} \\ \\ \hookrightarrow \: { \tt{( - (3)/(5)) {}^(3) }}`