Question

simplify (- 3) raise to the power 2 into (53) raised to the power 2 (- 3) raised to the power 2 into (53 raised to the power 2​

Answer 1

Solution:

-3² x 53² x -3² x 53²

Apply Exponent Rule => nᵃ * nᵇ = nᵃ⁺ᵇ

-3² x 53²⁺² x -3²

-3² x 53⁴ x -3²

And also -(-n) = n

3²⁺² x 53⁴

3⁴ x 53⁴

This is the simplification of the question =>3⁴ x 53⁴

Exponent is the representation of a power on a number or expression which is to be raised.

Example=> 3³ , x⁵ etc.

Answer 2

Given:

• A equation $(-3)^2 \times (53)^ 2 \times (-3)^2 \times (53)^2$ is given

To Find:

• Simplest form of the given equation.

Solution:

                  ⇒   $(-3)^2 \times (53)^ 2 \times (-3)^2 \times (53)^2$

As we know  exponent Rule when base are same then we can add the power

   So,                 $x^a \times x^b = x^{a+b}$

Applying  above conditions

we get,

                               ⇒ $(-3)^{2+2} \times (53)^{2+ 2}$

And also$-(-n) = n$

                               ⇒  $(3)^{4} \times (53)^{4}$

               

 Thus the  simplification of the question is     $(3)^{4} \times (53)^{4}$