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Mrrafil [7]
3 years ago
13

f What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the po

wer of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?
Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0
//5^-3 = 1/(5^3)
(2^2*5^6)/(5^3*2^3*5^2)=
(2^2*2^-3)*(5^6*5^-3*5^-2)=
(2^-1)*(5^1)=
5/2=
2.5=
Nady [450]3 years ago
4 0

Answer:

The simplified expression  is: \frac{5}{2}.

Step-by-step explanation:

We have been given an expression:

\frac{5^{-3}\cdot 2^2\cdot 5^6}{2^3\cdot 5^2}

We will simplify it by adding powers of the terms which have same base  

So first we will simplify numerator and denominator individually so we get:

\frac{5^3\cdot 2^2}{2^3\cdot 5^2}

Cancel the powers of the term with same base

\Rightarrow \frac{5}{2}

Hence, the simplified expression of:

\frac{5^{-3}\cdot 2^2\cdot 5^6}{2^3\cdot 5^2}=\frac{5}{2}.



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Yuliya22 [10]
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This answer is not represented in the pictures you attached

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