3 years ago

Power of powers property with and without variable

Mathematics

1 answer:

goldenfox [79]3 years ago

8 0

Answer:

This property states that to find a power of a power we multiply the exponents.

Step-by-step explanation:

Hope this helps!

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Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

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Step-by-step explanation:

Given

The equation showing the value of the bag after x years is $C=25(1.025)^x$

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$\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28$

It will take 28 years

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Option 2

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Power of powers property with and without variable ￼

Power of powers property with and without variable