Simplify. Rewrite the expression in the form y^(n). y^(-4)*y^(3)=

Identify base and exponents: Identify the base and the exponents of the terms in the expression. In y^(-4)*y^(3), y is the base raised to the exponents -4 and 3, respectively. Base: y Exponent 1: -4 Exponent 2: 3Apply product rule for exponents: Apply the product rule for exponents, which states that when multiplying two powers with the same base, you add the exponents. y^(-4)*y^(3) = y^(-4 + 3)Perform addition of exponents: Perform the addition of the exponents. y^(-4 + 3) = y^(-1)Write final simplified expression: Write the final simplified expression. The expression y^(-4)*y^(3) simplifies to y^(-1).

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Simplify.
Rewrite the expression in the form
y^(n).

y^(-4)*y^(3)=

Simplify. $\newline$ Rewrite the expression in the form $\newline$ $y^{(n)}.$ $\newline$ $y^{(-4)} \cdot y^{(3)} =$

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Math Problems

Grade 8

Evaluate expressions using properties of exponents

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

\newline

y^{(n)}.

\newline

y^{(-4)} \cdot y^{(3)} =

Identify base and exponents: Identify the base and the exponents of the terms in the expression. In $y^{-4} \cdot y^{3}$ , $y$ is the base raised to the exponents $-4$ and $3$ , respectively. $\newline$ Base: $y$ $\newline$ Exponent $1$ : $-4$ $\newline$ Exponent $2$ : $3$
Apply product rule for exponents: Apply the product rule for exponents, which states that when multiplying two powers with the same base, you add the exponents. $\newline$ $y^{-4} \cdot y^{3} = y^{-4 + 3}$
Perform addition of exponents: Perform the addition of the exponents. $y^{(-4 + 3)} = y^{-1}$
Write final simplified expression: Write the final simplified expression. $\newline$ The expression $y^{-4} \cdot y^{3}$ simplifies to $y^{-1}$ .