Answer:
37.375
Step-by-step explanation:
Step-by-step explanation:
Applying rules of exponents to solve the given problems;
4^3 x 4^5 =
5^8 ÷ 5^-2 =
(6^3 ) ^ 4 =
For these problems, the applicable rules of exponents are;
aᵇ x aⁿ = aᵇ⁺ⁿ
aᵇ ÷ aⁿ = aᵇ⁻ⁿ
(aᵇ)ˣ = aᵇˣ
For the first problem; 4³ x 4⁵
aᵇ x aⁿ = aᵇ⁺ⁿ
4³ x 4⁵ = 4³⁺⁵ = 4⁸
Second problem: aᵇ ÷ aⁿ = aᵇ⁻ⁿ
5⁸ ÷ 5⁻² = 5⁸⁻⁽⁻²⁾ = 5⁸⁺² = 5¹⁰
Third problem; (aᵇ)ˣ = aᵇˣ
(6³)⁴ = 6³ˣ⁴ = 6¹²
To spend a total of $135, Camille would have bought 27 tickets at $5 each.
Answer:
Step-by-step explanation:
Angle GPE is an inscribed angle. It intercepts arc GFE. The rule for inscribed angles and the arcs they intercept is that the angle is half the measure of the arc it intercepts. Angle P is 96, so that means that arc GFE is twice that. 2(96) = 192. We have arc FG as 92, so that means that arc FE is 192 - 92 which is 100 degrees. The third choice down.