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Evgesh-ka [11]
3 years ago
5

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0
When a polynomial is composed of product or quotient of terms, the terms with similar bases have exponents equal to the sum or difference of the exponents. in this case,  <span>x^4·x^n = x^5. since all have similar bases, n should be 1 since 4 + 1 = 5</span>
algol [13]3 years ago
5 0
Remember
(x^m)(x^n)=x^(m+n)
and
if a^m=a^n, where a=a then n=m


(x^4)(x^n)=x^5
(x^4)(x^n)=x^(4+n)
x^(4+n)=x^5
therefor
4+n=5
minus 4
n=1
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