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anastassius [24]
3 years ago
13

PS! ..-4(7a + 5) = -160

Mathematics
1 answer:
inn [45]3 years ago
3 0

4(7a + 5) = -160

mutiply the bracket by 4

(4)(7a)(4)(+5)= -160

28a+20= -160

move +20 to the other side

sign changes from +20 to -20.

28a+20-20= -160-20

28a= -180

Divide by 28

28a/28= -180/28

x= -180/28

reduce by dividing 4

-180/4= -45

28/4= 7

-45/7 or -6 3/7

Answer : x= -45/7 , x= -6 3/7

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To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>
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  • (a^a)^b =x^{(a\times b)}
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<h2>Explanation</h2>

Given to us

  • (16x^8y^{12})^{\frac{1}{2}}

Solution

We know that 16 can be reduced to 2^4,

=(2^4x^8y^{12})^{\frac{1}{2}}

Using identity (xy)^a = x^ay^a,

=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}

Using identity (a^a)^b =x^{(a\times b)},

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Using identity \dfrac{x^a}{x^b} = x^{(a-b)},

=\dfrac{2^2x^4}{y^6}

=\dfrac{4x^4}{y^6}

Hence, the solution of the expression is \dfrac{4x^4}{y^6}.

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brainly.com/question/2193820

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