Insert the corresponding expression:
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Insert the corresponding expression:
To solve the expression , we will use the Power of a Quotient Rule for Exponents, which states that when is a nonzero number. This rule allows us to simplify expressions where the bases are the same.
1. Identify the base and the exponents in the expression. Here, the base is 7, and the exponents are and .
2. Apply the Power of a Quotient Rule:
3. Simplify the expression in the exponent:
Calculate .
4. Therefore, the expression simplifies to .
However, according to the given correct answer, we are asked to provide the intermediate expression as well – that is, before calculating the difference:
So, the solution as an intermediate step is:
The explicit step-by-step answer provided in the question's solution matches our intermediate form.
The solution to the question is:
\( (3\times4\times5)^4= \)
Think of it as canceling out common factors! means you have 5b sevens in the numerator and 2b sevens in the denominator. After canceling 2b sevens, you're left with (5b-2b) = 3b sevens.
Yes! You can combine like terms: , so the final answer is . However, some problems ask for the intermediate step to show your work.
You cannot use this rule! The division rule only works when the bases are exactly the same. Different bases require different methods.
No! When multiplying same bases, you add exponents: . Only subtract when dividing. Remember: multiply = add, divide = subtract.
It doesn't matter! Always subtract bottom from top: . Negative exponents are perfectly valid and mean .
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