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We'll use the power rule for powers:
We'll apply this rule to the expression in the problem:
When in the first stage we applied the mentioned power rule and eliminated the outer parentheses, in the next stage we simplified the resulting expression,
Next, we'll recall the power rule for powers that applies to parentheses containing a product of terms:
We'll apply this rule to the expression we got in the last stage:
When we applied the power to the parentheses to each term of the product inside the parentheses.
Therefore, the correct answer is answer D.
\( 112^0=\text{?} \)
The power rule states . We add exponents when multiplying same bases, but when raising a power to another power, we multiply the exponents!
In we add exponents because we're multiplying same bases. But in we multiply exponents because we're raising a power to a power.
Use the product rule: . So . Apply the exponent to each factor separately!
No! The coefficient 4 must stay as . Don't try to calculate to a specific number because the exponent contains a variable y.
This is a common error! Remember that every factor inside the parentheses gets raised to the outside power. Both the 4 and the x must be raised to the power.
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