Question

Choose the correct simplification of Formula1" title=" \frac{a^5b^6}{a^4b^4} " alt=" \frac{a^5b^6}{a^4b^4} " align="absmiddle" class="latex-formula">
(a) $a^9b^1^0$
(b) $ab^2$
(c) $\frac{1}{ab^2}$
(d) $\frac{1}{a^9b^1^0}$

Answer 1

Answer:

a^5 - a^4 = a1 or a

b^6 - b^4 = b2

put them together and you get ab^2

I also took the test and got it right

Answer 2

The correct simplification will be: (b) ab²

$\frac{a^5 b^6}{a^4 b^4}$

Here we will use the property of exponents for division of two exponential terms with same bases. The original property is : $\frac{x^m}{x^n} = x^m^-^n$

It means if the bases are same , then we will just subtract the exponents while dividing two terms.

Using this property:

$\frac{a^5}{a^4} = a^5^-^4 = a^1 = a$

and $\frac{b^6}{b^4} = b^6^-^4 = b^2$

So, $\frac{a^5 b^6}{a^4 b^4} = ab^2$