Question

(a) If a^m * a^n = a*, find the value of x in terms of 'm' and 'n'.

Answer 1

Question:

• a^m × a^n = a^x, find the value of x in terms of m and n.

Solution:

》a^m × a^n = a^x

》a^(m+n) = a^x

Equating the powers

》m + n = x

》i.e. x = m + n

Therefore, the value of x in terms of m and n is m + n.

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Extra information:

• $\sf{a^{m}+a^{n}=a^{m+n}}$

• $\sf{\dfrac{a^{m}}{a^{n}}=a^{m-n}}$

• $\sf{a^{0}=1}$