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kolbaska11 [484]
3 years ago
9

X^2/3 •5x =5x^5/3 Can someone explain how the exponent is 5/3?

Mathematics
1 answer:
alekssr [168]3 years ago
8 0
Written an alternate way it is x^2/3 • 5x^3/3 (because 5x is to the power of one and in order to add fractions, you have to have the same denominator). So when you multiply the like terms, you add the exponents (2/3 and 3/3).
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Explanation:

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Step-by-step explanation:

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A square has side length (x+5) units. What is it’s area
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The area of square is x^{2}+10 x+25 square units

<h3><u>Solution:</u></h3>

Given that square has side length (x+5) units

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<em><u>The area of square is given as:</u></em>

\text {Area of square }=\mathrm{a}^{2}

Where "a" is the length of side

From question, length of each side "a" = x + 5 units

Substituting the value in above formula,

\text {Area of square }=(x+5)^{2}

{\text {Expanding }(x+5)^{2} \text { using the algebraic identity: }} \\\\ {(a+b)^{2}=a^{2}+2 a b+b^{2}}\end{array}

\begin{array}{l}{\text {Area of square }=x^{2}+2(x)(5)+5^{2}} \\\\ {\text {Area of square }=x^{2}+10 x+25}\end{array}

Thus the area of square is x^{2}+10 x+25 square units

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