Question

An expression that is equivalent to 20x^4

Answer 1

An expression that is equivalent to $20x^4$ is 5$x^{2}$ × 4$x^{2}$ or 10$x^{1}$ ×2$x^{3}$

Step-by-step explanation:

We can write the equivalent expression for the given expression as,

5$x^{2}$ × 4$x^{2}$  = 20$x^{2+2}$ = 20$x^{4}$

We can add the powers of x as 2+ 2 = 4.

Since the base x is same we can add the powers as per the law of exponents as, $x^{m}$×$x^{n}$ = $x^{m+n}$

10$x^{1}$ ×2$x^{3}$ = 20 $x^{1+3}$ = 20 $x^{4}$

So an expression that is equivalent to $20x^4$ is 5$x^{2}$ × 4$x^{2}$ or 10$x^{1}$ ×2$x^{3}$