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

2 answers:

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]4 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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Since the dimension on the L.H.S of the equation is [L] , each of the terms on the right hand side should also have dimension of length[L] to be dimensionally valid

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$Bt=[L]\\\\$ $[B][T]=[L]$ $\\\\\therefore [B]=LT^{-1}$