Simplify each expression. Assume all variables represent nonze...

Question

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3. -(4m³n⁰)²

Accepted Answer

Welcome back. I am so glad you're here. We're told for the following expression, simplify the variables in the expression are nonzero real numbers. Our expression is negative open parentheses. Two H raised to the fifth power K raised to the zero power closed parentheses squared. Our answer choices are answer choice. A negative 4h raise to the seventh power answer choice B 4h raise to the seventh power K squared. Answer choice C negative 4h race to the 10th power K squared and answer choice D negative 4h raise to the 10th power. All right. So what we've got here is the power raised to a power rule. And because everything inside of the parentheses, the two, the raise to the fifth and the K raise to the zero are all being raised to the second power. And what we do is raise each one of those to the second power. So let's bring this negative down in front. We can't forget that. And so we'll have two squared multiplied by eight, raise to the fifth, raise to the second, multiplied by K raised to the zero squared. And when we have with these variables, a power raised to a power like the fifth raised to the second and zero raised to the second. We are going to multiply those. So let's bring down the negative two squared is four and for a tray to the fifth squared, five multiplied by two is 10. So we have H raised to the 10th power. Now for K raised to the zero squared zero, multiplied by two is zero. So we still have zero KS and we don't even need to write those zero Ks. So we're left with a simplified answer of negative 4h raise to the 10th power. We look at our answer choices and this matches with answer choice. D well done. We'll catch you on the next one.

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3. -(4m³n⁰)²

Key Concepts

Exponentiation of a Product

Zero Exponent Rule

Negative Sign and Exponentiation

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