Question

4^5 x 4^-7 divided by 4^-2

Answer 1

Facts to review:

`\bullet \ \tex\text{Tip 1: If there is a`

Step- by step calculations:

`\bullet\rightarrow (4^(5) * 4^(-7) ) / 4^(-2) \\\\ \bullet\rightarrow (4^(5 +(- 7)) ) / 4^(-2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 1}]\\\\ \bullet\rightarrow (4^(-2) ) / 4^(-2)\\\\ \bullet\rightarrow \boxed{\bold{1}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 3}]`

The solution for the given expression is 1.

Answer 2

Explanation:

Our expression;

`(4^5*4^7)/(4^-2)`

Notes;

When exponents multiply, they add.

When exponents divide, they subtract.

Multiply;

`(4^5*4^7)/(4^(-2))=(4^(-2))/(4^(-2))`

Divide;

`\boxed{(4^(-2))/(4^(-2))=4^0=1}`