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2 years ago

Rewrite each expression using each base only once 5^45^-65

1 answer:

7 0

5^4 * 5^(-6) * 5

= 5^4 * 5^(-6) * 5^1

= 5^[ 4 + (-6) + 1 ]

= 5^[ 4 - 6 + 1 ]

= 5^(-1) <----- this is the answer.

I hope this helps. =)

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Doss [256]

Answer:

Each shirt cost $7 and each pair of shorts cost $17 .

Step-by-step explanation:

let shirts be represented as x

let shorts be represented as y

Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.

4 x + 3 y = $79 .......equation 1

Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.

7 x + 8 y = $185 .......equation 2

multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.

7 × (4 x + 3 y = $79) ⇒ +28 x + 21 y = $553

-4 × (7 x + 8 y = $185) ⇒ -28 x - 32 y = - $740

0 - 11 y = - $187 ⇒ -11 y = - $187

y = $\frac{- $187}{- 11}$ ⇒ y = $17

shorts = y = $17

put value of y in equation 1

4 x + 3 ( $17 ) = $79 ⇒ 4x + $51 = $79 ⇒ 4x = $79 - $51

4x = $28 ⇒ x = $\frac{$28}{4}$ ⇒ x = $7

Shirts = x = $7

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Rewrite each expression using each base only once 5^4*5^-6*5

Rewrite each expression using each base only once 5^45^-65