Question

The value of 2⁰ + 3⁰ + 4⁰ is __________​

Answer 1

To find:-

$\sf{The\: value\: of \:2^0 + 3^0 + 4^0}$

Solution:-

According to law of indices,

$\sf{a^0 = 1 \:\:\: [Where\:a\:is\:any\:integer}$

= $\sf{2^0 + 3^0 + 4^0}$

= $\sf{1 + 1 + 1}$

= $\sf{3}$

More about law of indices:-

• $\sf{a^m \times a^n = a^{m + n}}$

• $\sf{If\:a^m = a^n,\:Then m = n}$

• $\sf{\dfrac{a^m}{a^n} = a^{m-n}}$

• $\sf{a^{-1} = \dfrac{1}{a}}$

• $\sf{\sqrt{a} = a^{\dfrac{1}{2}}}$

• $\sf{{(x^n)}^m = x^{n\times m}}$

What are indices?

-> Indices are the expressions which indicate that how many times the multiplication of a number is repeated.

$\sf{Eg:- 5^6}$

Here 5 is multiplied 6 times repeatedly. So 6 is the exponent (indices) here.

Indices are also called power of a number.

Answer 2

Answer:

${2}^{0} + {3}^{0} + {4}^{0} = 1 + 1 + 1 = 3$

Step-by-step explanation:

LAW OF EXPONENT USED;

a^0=1

☆ANYTHING TO THE POWER 0 IS 1.