Simplify the expression. Write the result using positive exponents only. (\frac{x^{-5}y^{2}}{x^{5}y^{8}})^{-3}

interdicoxd

interdicoxd

Answered question

2021-12-10

Simplify the expression. Write the result using positive exponents only.
(x5y2x5y8)3

Answer & Explanation

veiga34

veiga34

Beginner2021-12-11Added 32 answers

Step 1 
(x5y2x5y8)3 
=(x5y2)3(x5y8)3 
=(x5)3(y2)3(x5)3(y8)3 
=x(5)(3)y(2)(3){x(5)(3)y8(3)   
=x15y6x15y24 
Step 2 
We know that, xmxn=xmn 
=x15+15y6+24 
=x30y18 
Therefore, (x5y2x5y8)3=x30y18

aquariump9

aquariump9

Beginner2021-12-12Added 40 answers

Step 1
(x5y2x5y8)3
Cancel out y2S in both numerator and denominator.
(x5x5y6)3
To divide powers of the same base, subtract the numerators

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