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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

Sagot :

mhanifa

Answer:

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

Answer:

1) [tex]5^{-3}[/tex]-

Exponent rule:- [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]5^{-3}=\frac{1}{5^3}[/tex]

[tex]=\frac{1}{5^3}[/tex]

[tex]5^3=125[/tex]

Answer:- [tex]\frac{1}{125}[/tex]

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2) [tex]-3^{-4}[/tex]

[tex]-(\frac{1}{3} )^{4}[/tex]

Answer:- [tex]-(\frac{1}{3}\times\frac{1}{3} \times \frac{1}{3} \times\frac{1}{3} )[/tex]

---------

3) [tex]3^{-8}\times 3^{4}[/tex]

[tex]3^{-8+4}[/tex]

Answer:- [tex]3^{-4}[/tex]

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4) [tex]7^{-3} /7^{-5}[/tex]

[tex]7^{-3-(-5)}[/tex]

[tex]7^{-3+5}[/tex]

Answer:- [tex]7^{2}[/tex]

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5) [tex](8^{10} )^{2}[/tex]

[tex]8^{10\times2}[/tex]

Answer:- [tex]8^{20}[/tex]

---------

6) [tex](9\times8)^{4}[/tex]

Answer:- [tex]9^{4} \times 8^{4}[/tex]

---------

7) [tex]\left(\frac{2}{7}\right)^5[/tex]

Answer:- [tex]\frac{2^{5} }{7^{5} }[/tex]

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OAmalOHopeO

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