Question

Need some help with negative exponents please!

Simplify. x^0yz^-3

Simplify. 6x^-2

Simplify. f^-1g^-1

Simplify. y^-3

Simplify. (-2)^-3

I got these wrong on one of my assignments :[

Answer 1

just keep in mind that \(\bf a^{-{\color{red} n}} = \cfrac{1}{a^{\color{red} n}}\) and expand accordingly

Answer 2

what are those red things? @jdoe0001

Answer 3

@johnweldon1993

Answer 4

\(\bf x^0yz^{-{\color{red}{ 3}}}\implies x^0\cdot y\cdot \cfrac{1}{z^{\color{red}{ 3}}}\implies 1\cdot y\cdot \cfrac{1}{z^{\color{red}{ 3}}}\implies y\cdot \cfrac{1}{z^{\color{red}{ 3}}}
\\ \quad \\
\cfrac{y}{z^{\color{red}{ 3}}}\)

so... you'd convert the negative exponent like so, and then simplify :)

Answer 5

thank you! @jdoe0001

Answer 6

yw