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I don’t get how to solve ((-4)^9)^9

1 Answer

4 votes

Answer:

-4^81 = -5846006549323611672814739330865132078623730171904

Explanation:

You want to simplify ((-4)^9)^9.

Rules of exponents

The applicable rule of exponents is ...

(a^b)^c = a^(bc)

Here, this means ...

((-4)^9)^9) = (-4)^(9·9) = (-4)^81

The exponent is odd, so there are an odd number of minus signs in this product. That means the result is negative. We can simplify this further to ...

= -4^81

= -5846006549323611672814739330865132078623730171904

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Additional comment

Most calculators will give you this 49-digit number in scientific notation, showing 10-16 digits, depending on the calculator.

<95141404393>

I don’t get how to solve ((-4)^9)^9-example-1
User Dan Ling
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