Question

Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals

Answer 1

Answer:

$y^{-4}\cdot y^3=y^{-1}$.

Step-by-step explanation:

The given expression is

$y^{-4}\cdot y^3$

We have to simplify the above expression. in form of $y^n$.

Using property of exponents, we get

$y^{-4}\cdot y^3=y^{-4+3}$      $[\because a^ma^n=a^{m+n}]$

After addition of exponents, we get

$y^{-4}\cdot y^3=y^{-1}$

Therefore, $y^{-4}\cdot y^3=y^{-1}$.