Simplify the expression. ( − 4 t ) 0 , t ≠ 0 (-4t)^0,t\ne0

this problem, we want to simplify the expression negative four t raised to the zeroth power, knowing that t does not equal zero. In order to simplify this, we're going to use our zero exponent rule, which tells us that anything to the zeroth power is going to equal one, as long as that value doesn't equal zero itself. So since we know that t does not equal zero, that means that negative four t to the zero th power equals one. And that is our final answer.

6. Exponents and Polynomials

The Quotient Rule

Beginning Algebra

6. Exponents and Polynomials

The Quotient Rule

Struggling with Beginning Algebra?

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Multiple Choice

Simplify the expression.
$(- 4 t)^{0}, t \neq 0$

$t$

$1$

$0$

$-1$

Verified step by step guidance

Recall the Quotient Rule for Exponents, which states that when you divide two expressions with the same base, you subtract the exponents: $a^{m} \div a^{n} = a^{m-n}$.

Identify the base and the exponents in the given problem. Make sure the bases are the same to apply the Quotient Rule.

Rewrite the division of the exponential expressions as a single expression with the base raised to the difference of the exponents: $a^{m} \div a^{n} = a^{m-n}$.

Subtract the exponent in the denominator from the exponent in the numerator to simplify the expression.

Express the final answer as a single exponential term with the base and the new exponent obtained from the subtraction.

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Simplify the expression.(−4t)0,t≠0(-4t)^0,t\ne0

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Simplify the expression.
$(- 4 t)^{0}, t \neq 0$