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BabaBlast [244]
4 years ago
6

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}
Mathematics
2 answers:
Xelga [282]4 years ago
6 0

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

Rashid [163]4 years ago
3 0

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

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