Question

Please help! need answers in order to move on:)

1.) which number equals (5)^-3?
- -125
- 1/15
- 1/125
- -15

2.) find the equivalent for -(3)^-4
- -(4x4x4)
- -3x-4
- 1/-3x-3x-3x-3
- -(1/3x1/3x1/3x1/3)

3.) which of the following is equivalent to 3^-8x3^4
- 3^-12
- 3^-4
- 3^-2
- 3^-32

4.) which value is equivalent to 7^-3/7^-5
- 7^15
- 7^-2
- 7^8
- 7^2

5.) choose the equivalent expression (8^10)^2
- 8^12
- 8^20
- 8^8
- 8^5

6.) which expression is equivalent to (9x8)^4
- 9x8x4
- 9^4x8^4
- (9^8)^4
- (9^4)^8

7.) which expression is equivalent to (2/7)^5
- 2^5/7^5
- 2x5/7x5
- 2^5/7
- 2x5/7

Answer 1

1)
`5^(-3)`-

Exponent rule:-
`a^(-b)=(1)/(a^b)`

`5^(-3)=(1)/(5^3)`

`=(1)/(5^3)`

`5^3=125`

Answer:-
`(1)/(125)`

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2)
`-3^(-4)`

`-((1)/(3) )^(4)`

Answer:-
`-((1)/(3)*(1)/(3) * (1)/(3) *(1)/(3) )`

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3)
`3^(-8)* 3^(4)`

`3^(-8+4)`

Answer:-
`3^(-4)`

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4)
`7^(-3) /7^(-5)`

`7^(-3-(-5))`

`7^(-3+5)`

Answer:-
`7^(2)`

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5)
`(8^(10) )^(2)`

`8^(10*2)`

Answer:-
`8^(20)`

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6)
`(9*8)^(4)`

Answer:-
`9^(4) * 8^(4)`

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7)
`\left((2)/(7)\right)^5`

Answer:-
`(2^(5) )/(7^(5) )`

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OAmalOHopeO

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Answer 2

1)

• 5⁻³ = 1/5³ = 1/125

2)

• -3⁻⁴ = -(1/3)⁴ = -(1/3×1/3×1/3×1/3)

3)

• 3⁻⁸ x 3⁴ = 3⁻⁸⁺⁴ = 3⁻⁴

4)

• 7⁻³/7⁻⁵ = 7⁻³ ⁻⁽⁻⁵⁾ = 7⁻³⁺⁵ = 7²

5)

• (8¹⁰)² = 8¹⁰*² = 8²⁰

6)

• (9x8)⁴ = 9⁴x8⁴

7)

• (2/7)⁵ = 2⁵/7⁵