Question

amx an = am+n is true or false
,
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Answer 1

Proper question:-

$\sf{{a}^{m} \times {a}^{n} = {a}^{m+n} \:is\:true\:or\:false.}$

Answer:-

$\sf{According \:to\: law\: of\: indices, a^m \times a^n = a^{m+n}\: is\: true}$

More laws of indices:-

• $\sf{If\: a^n = a^m,\: then\: n = m}$

• $\sf{\dfrac{a^m}{a^n} = a^{m-n}}$

• $\sf{a^0 = 1}$

• $\sf{{(a^n)}^m = a^{nm}}$

• $\sf{a^{\dfrac{n}{m}} = \sqrt[m]{a^n}}$

• $\sf{a^{-n} = \dfrac{1}{a^n}}$

Question:-

What are exponents (or indices)?

Answer:-

Exponents are the expressions which shows how many times a number has been multiplied repeatedly.

For example, If we take an expression, 2⁹

In this expression 2 has been multiplied 9 times repeatedly.

Exponent of a number is also called power of a number.