What is the value of

asked Feb 20, 2023 88.8k views

1 vote

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Let's use the following properties:

$\begin{gathered} a^(-x)=(1)/(a^x) \\ x^y\cdot x^z=x^(y+z) \end{gathered}$

Rewrite the expression as:

$2^8\cdot2^(-5)\cdot5^9\cdot5^(-8)\cdot10^4\cdot10^(-7)=2^3\cdot5^1\cdot10^(-3)=(1)/(25)$

Igor Moraru answered Feb 25, 2023

8.4k points

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