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mojhsa [17]
3 years ago
5

18........................

Mathematics
2 answers:
sasho [114]3 years ago
5 0

Answer:

d. 13x^{\frac{5}{2}}

Step-by-step explanation:

The given expression is

\sqrt{169x^5}

We can rewrite this as

\sqrt{169}\times \sqrt{x^5}

We rewrite as a rational exponent to obtain;

(13^2)^{\frac{1}{2}}\times (x^5)^{\frac{1}{2}}

Recall that;

(a^m)^n=a^{mn}

13^{(2\times \frac{1}{2})}\times (x)^{5\times \frac{1}{2}}

13^1 (x)^{\frac{5}{2}}

The correct choice is D

13x^{\frac{5}{2}}

Alex787 [66]3 years ago
4 0

Answer:

D

Step-by-step explanation:

We will use the radical property  \sqrt{a*b} =\sqrt{a} \sqrt{b}  to simplify this.

The problem is  \sqrt{169*x^5}

We can simplify this as:

\sqrt{169*x^5} \\=\sqrt{169} \sqrt{x^5}

Now we can use the property of radicals,  \sqrt[n]{x^a} =x^{\frac{a}{n}}  , to write as:

\sqrt{169} \sqrt{x^5} \\13*x^{\frac{5}{2}}

D is right answer.

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