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We will solve the problem in two steps, in the first step we will use the power of a product rule:
The rule states that the power affecting a product within parentheses applies to each of the elements of the product when the parentheses are opened,
We begin by applying the law to the given problem:
When we open the parentheses, we apply the power to each of the terms of the product separately, but since each of these terms is already raised to a power, we must be careful to use parentheses.
We then use the power of a power rule.
We apply the rule to the given problem and we should obtain the following result:
When in the second step we perform the multiplication operation on the power exponents of the obtained terms.
Therefore, the correct answer is option d.
\( 112^0=\text{?} \)
The parentheses ensure you apply the power of a power rule correctly! Without them, you might forget that and are already raised to powers.
Multiply exponents when raising a power to a power: . Add exponents when multiplying same bases: .
Always work from outside to inside! Start with the outermost exponent (the 4), then apply it to each factor inside the parentheses using the product power rule.
No, you must follow the order of operations. The exponent 4 applies to everything inside the parentheses, so you cannot rearrange or combine terms before applying the power rules.
This is the simplified form! Since y and x are different variables, you cannot combine them further. Each variable keeps its own exponent: and .
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