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Simplify the expression answer must be in positive exponents (5a^2b^-3c^-4)^2

User PsiX
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1 Answer

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21 votes

∑ Hey, jillianwagler ⊃

Answer:


(25a^4)/(b^6c^8)

Explanation:

Given:

Simplify the expression answer must be in positive exponents


(5a^2b^-^3c^-^4)^2

Solve:

Applying exponent rules~:
\left(a\cdot \:b\right)^n=a^nb^n

Thus,


\left(5a^2b^(-3)c^(-4)\right)^2=5^2\left(a^2\right)^2\left(b^(-3)\right)^2\left(c^(-4)\right)^2


=5^2\left(a^2\right)^2\left(b^(-3)\right)^2\left(c^(-4)\right)^2

Simplify:
5^2=25

Now we have;


=25\left(a^2\right)^2\left(b^(-3)\right)^2\left(c^(-4)\right)^2

Simplify:
(a^2)^2:a^4


=25a^4\left(b^(-3)\right)^2\left(c^(-4)\right)^2

Simplify:
(b^-^3)^2:(1)/(b^6)


=25a^4(1)/(b^6)\left(c^(-4)\right)^2

Simplify:
(c^(-4)\right))^2:(1)/(c^8)


=25a^4(1)/(b^6)\cdot (1)/(c^8)

Simplify again:


=(25a^4)/(b^6c^8)

Finally Answer:
=(25a^4)/(b^6c^8)

xcookiex12

8/19/2022

User Pydsigner
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3.2k points