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Simplify the expression. Write the answer using scientific notation. (5x10^2)^-2 A. 0.04x10^-4 B. -10x10^-4 C. 4.0x10^-6 D. 4.0x10^-5

Simplify the expression. Write the answer using scientific notation. (5x10^2)^-2 A. 0.04x10^-4 B. -10x10^-4 C. 4.0x10^-6 D. 4.0x10^-5
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Simplify the expression. Write the answer using scientific notation.

(5x10^2)^-2

A. 0.04x10^-4
B. -10x10^-4
C. 4.0x10^-6
D. 4.0x10^-5

User Kryptonkal
by
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1 Answer

3 votes

(5\cdot10^2)^(-2)=5^(-2)\cdot10^(-4)= \cfrac{1}{5^2} \cdot10^(-4)=\cfrac{1}{25} \cdot10^(-4)=0.04\cdot10^(-4)=4\cdot10^(-6)

The answer is C. 4.0x10^-6
User PinoSan
by
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