Question

Simplify the expression. Write your answer as a power.(-8.3)8 (-8.3)4(-8.3)? (-8.3)3The simplified expression is

Answer 1

The simplified expression is: 68.89

How to use laws of exponents?

Some of the laws of exponents are:

- When multiplying by like bases, keep the same bases and add exponents.

- When raising a base to a power of another, keep the same base and multiply by the exponent.

- If dividing by equal bases, keep the same base and subtract the denominator exponent from the numerator exponent.

The expression we want to solve is given as:

`((-8.3)^(2) )/((-8.3)^(7) ) * ((-8.3)^(4) )/((-8.3)^(3) )`

Using laws of exponents, we have the product as:

`((-8.3)^(8+4) )/((-8.3)^(7+3))`

=
`((-8.3)^(12) )/((-8.3)^(10))`

= (-8.3)²

= 68.89

Answer 2

`((-8.3)^8)/((-8.3)^7)\cdot((-8.3)^4)/((-8.3)^3)`

This will be simplified with this law of indices

`(a^e)/(a^y)=a^(e-y)`
`\begin{gathered} \text{Therefore the initial question becomes:} \\ ((-8.3)^(8-7))\text{ }\cdot\text{ (}(-8.3)^(4-3)) \end{gathered}`
`\begin{gathered} (-8.3)^1\cdot(-8.3)^1 \\ (-8.3)^(1+1) \\ (-8.3)^2 \\ \end{gathered}`

Going further, we can simplify to:

`\begin{gathered} (-8.3)*(-8.3) \\ =68.89 \end{gathered}`