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Using the power rule for an exponent raised to another exponent:
We apply the rule to the given problem:
In the first step we applied the aforementioned power rule and removed the outer parentheses. In the next step we again applied the power rule and removed the remaining parentheses.
In the final step we simplified the resulting expression,
Therefore, through the rule of substitution (which is applied to the exponent of the power in the obtained expression) it can be concluded that the correct answer is answer D.
\( 112^0=\text{?} \)
The power rule says . When you raise a power to another power, you're essentially multiplying the base by itself m times, n times, which means m × n total multiplications!
Work from the outside in, applying the power rule one step at a time. First remove the outermost parentheses, then the next layer, until you have a single exponent.
The product rule is for multiplying powers with the same base: (you ADD). The power rule is for raising a power to a power: (you MULTIPLY).
Yes! You can work from inside out or outside in. Both methods give the same answer: . Choose the approach that feels most comfortable to you.
Memory trick: Parentheses around powers = multiply exponents. Powers being multiplied together = add exponents. Look for those parentheses as your clue!
Order doesn't matter in multiplication! Whether you get , , or , they're all the same answer.
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