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Simplify the following expression using only positive exponents

Simplify the following expression using only positive exponents-example-1
User Khattab
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1 Answer

5 votes

Given:

The given expression is
x^{(3)/(4)} \cdot x^{(5)/(3)}

We need to simplify the given expression.

Simplification:

Let us simplify the expression using positive exponents.

Let us apply the exponent rule,
a^(b) \cdot a^(c)=a^(b+c)

Thus, we have;


x^{(3)/(4)} x^{(5)/(3)}=x^{(3)/(4)+(5)/(3)}

Let us simplify the exponent by taking LCM.

Thus, we get;


x^{(3)/(4)} x^{(5)/(3)}=x^{(9+20)/(12)}

Simplifying, we get;


x^{(3)/(4)} x^{(5)/(3)}=x^{(29)/(12)}

Thus, the simplified value of the given expression is
x^{(29)/(12)}

Hence, Option c is the correct answer.

User Ryanlahue
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