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jeyben [28]
3 years ago
10

Simplify (7 1/5)5 Please show work

Mathematics
2 answers:
Westkost [7]3 years ago
5 0

7 ^ 1/5 ^ 5

power to a power is multiplied

7 ^ (1/5 *5)

7^1

7

Choice A

Lena [83]3 years ago
4 0

Answer:

7

Step-by-step explanation:

(7^\frac{1}{5})^5

Apply exponential property to simplify the exponent

(a^m)^n = a^{mn}

Multiply the outside exponents

In the given expression the outside exponent are 1/5 and 5

\frac{1}{5} \cdot 5= 1

(7^\frac{1}{5})^5

7^1=7

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\qquad ☀️\pink{\bf{ {Answer  = \: \: -2   }}}

Let assume –

  • \bf (x_1,y_1) = (t,-6)
  • \bf (x_2,y_2) = (-1,3)

As we know – The slope formula is or the change in the y values over the change in the x values.

\qquad \pink{\twoheadrightarrow\bf Slope, m = \dfrac{y_2-y_1}{x_2-x_1}}

<u>According to the question </u>–

\qquad \pink{\twoheadrightarrow\bf \dfrac{y_2-y_1}{x_2-x_1} = 9}

\qquad \twoheadrightarrow\sf \dfrac{3 -(-6)}{-1-t}=9

\qquad \twoheadrightarrow\sf \dfrac{3+6}{-1-t} = 9

\qquad \twoheadrightarrow\sf \dfrac{9}{-1-t}=9

\qquad \twoheadrightarrow\sf \dfrac{1}{-1-t} = \dfrac{9}{9}

\qquad \twoheadrightarrow\sf \dfrac{1}{-1-t} =\cancel{ \dfrac{9}{9}}

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\qquad \twoheadrightarrow\sf -t = 1+1

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