Simplify: (1000-5)^(2+2)^3
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Step-by-step explanation:
First, we can use this rule for exponents to eliminate the negative exponent:
xa=1x−a
1000−23=11000−−23=1100023
We can next rewrite the exponent as:
1100023=1100013×2
And then use this rule to rewrite the expression again:
xa×b=(xa)b
1100013×2=1(100013)2
We can convert the term within the parenthesis to radical form using this rule:
x1n=n√x
1(100013)2=1(3√1000
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Answer:
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