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natita [175]
3 years ago
8

Factor the expression using the GCF. 24+64x

Mathematics
2 answers:
Olin [163]3 years ago
3 0
8(3+8x) I think is the answer
koban [17]3 years ago
3 0

Answer:

8 (3 + 8x)

Step-by-step explanation:

Factor down the two values. The two multiples for 24 can be 8 and 3. The two multiple for 64 can 8 and 8. Overall, both the values are multiples of 8.

You put 8 out of the bracket since it's the GCF.  24 goes 3 times and 64 goes 8 times.

= 8 (3 + 8x)

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Simplify each exponential expression to the form x^n where n is positive.
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The expression is:

\sqrt{\frac{x^{3}x^{8}}{x^{6}}}

We will use following steps to simplify it:

Step 1:

Use product property of exponents:

x^{a}*x^{b}=x^{a+b}

x^{3}*x^{8}=x^{8+3}

x^{3}*x^{8}=x^{11}

That gives us the expression:

\sqrt{\frac{x^{11}}{x^{6}}}

Step 2:

Use division property of exponents:

\frac{x^{a}}{x^{b}}=x^{a-b}

\frac{x^{11}}{x^{6}}=x^{11-6}

\frac{x^{11}}{x^{6}}=x^{5}

This simplifies the expression:

\sqrt{x^{5}}

Step 3:

Writing the square root as power 1/2:

\sqrt{x^{5}}=x^{5*\frac{1}{2} }

\sqrt{x^{5}}=x^{\frac{5}{2} }

Answer:

The final simplified form in x^n form is :

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


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True or False? An expression is simplified if it has parentheses?
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

First consider the original amount.

Then consider the rate of tax or markup

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To find the total cost, add the tax or markup to the original amount.

Step-by-step explanation:

Example

A phone has a listed price of $790 before tax. If the sales tax rate is 6.5% find the total cost of the phone with sales tax included. Round your answer to the nearest cent as required.

Solution

Step 1:

List price of the phone = $790

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