Question

solve 5²÷5² law of indices​

Answer 1

Answer:

ok last time, I did a mistake this is the one with the explanation

Step-by-step explanation:

5²÷5²

=5²-²

=5^0

=1

Answer 2

To solve :  $5^{2}\div 5^{2}$ according to law of indices

Solution :

Law of indices is also called as is Law of exponents . Some of the rules of law of exponents are given below :

1. The product property of exponents
2. The quotient property of exponents,
3. The zero property of exponents,
4. The negative property of exponents.

• To solve the above question we use the quotient property of exponents : This property is used to divide two expressions with the same bases while their exponents subtract keeping the base same as it is.

• Therefore , according to rule we can write $5^{2}\div 5^{2}$ as -

                   $\frac{5^{2} }{5^{2} } = 5^{2 - 2}$

                      $= 5^{0}$

• Now , as we can see on subtracting exponents we get exponent as 0

• so here we use the zero property of exponents - it states that any number  raised to the power 0  is always 1.

• Therefore , $5^{0} = 1$  

Hence $5^{2}\div 5^{2}$  is equal to 1.