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Svetradugi [14.3K]
3 years ago
10

Question 3 Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

4x

Step-by-step explanation:

Given:

√x • 4√x

Required:

Simplify in rational exponent form

SOLUTION:

Recall => \sqrt{a} = a^{\frac{1}{2}}

Thus,

\sqrt{x}*4\sqrt{x} can be expressed in exponent form as x^{\frac{1}{2}}*4x^{\frac{1}{2}

When multiplying 2 bases having exponents together, their exponents should be added together, while you multiply the bases. I.e. x^m*x^n = x^{m+n }

= x*4^{\frac{1}{2}+\frac{1}{2}

= 4x^{1} = 4x

The answer is 4x

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