Home > Algebra > Multiplication of Rational Expressions

Can anybody help me? (3^-2 * b^2) / (a^0 * b^2)

(3^-2 * b^2) / (a^0 * b^2)

Answer 1

Eva Adamson

#rarr(3^(-2)*b^2)/(a^0*b^2#

#=(cancel(b^2))/(3^2*1*cancel(b^2))=1/9#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

Yes, I can help you. To simplify the expression ( \frac{3^{-2} \cdot b^2}{a^0 \cdot b^2} ), we use the properties of exponents.

Recall that any non-zero number raised to the power of zero equals 1. Thus, ( a^0 = 1 ).

Also, ( a^{-n} = \frac{1}{a^n} ) for any non-zero number ( a ) and positive integer ( n ).

Using these properties, we simplify the expression as follows:

[ \frac{3^{-2} \cdot b^2}{a^0 \cdot b^2} = \frac{\frac{1}{3^2} \cdot b^2}{1 \cdot b^2} = \frac{\frac{1}{9} \cdot b^2}{b^2} = \frac{1}{9} ]

Therefore, the simplified expression is ( \frac{1}{9} ).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.