Question

Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repeated multiplication form is... can someone help me im kinda confused

Answer 1

Given:

The expression is

`(-8)^3\cdot (-8)^4`

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

`(-8)^3\cdot (-8)^4`

The repeated multiplication form of this expression is

`=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]`

`=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)`

Clearly, (-8) is multiplied seven times by itself. So,

`=(-8)^7`

Therefore, the repeated multiplication form of the given expression is
`(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)` and the expression as single power is
`(-8)^7`.