Question

Help?? ******10 Points*****

Answer 1

7. The answer is -4 or your second option in this case.

8. The answer is 2.4 ⋅
`10^(3)` or the second option again.

9. Multiply the exponents in (
`(m^(7))^(2) .`)2. Answer:
`m^(14)`

10. Simplify the expression. Answer:
`r^(8)`

11. Simplify the expression using the rules of exponents. Answer: 81
`q^(8)`

Answer 2

7.) You simply add the exponents and keep the base. -6 + 7 = 1 so it's 4^1 or just 4.
8.) For this one, you multiply the bases or numbers being multiplied by the ten and add the exponents of 10 while keeping the base.
3 × 8 = 24
6 + -4 = 2
This means you would have
24 × 10^2
However, this is not in scientific form so the decimal must be moved over once. Since the answer is being divided by 10 once you need to add an additional power to 2 making your final answer 2.4 × 10^3
9.) When an exponent is raised to another exponent, the powers are multiplied.
7 × 2 is 14 so your answer would be m^14
10.) To solve this you follow order of operation in which the exponent involving the parenthesis is solved first. With this in mind and that a power to a power is multiplied, we can simplify this.
10 × 0 = 0 so we have
(t^8)*(t^0) Add your exponents and you get
t^8 as a final answer.
Hope this helps!!!