Consider the given equations. We have to identify the correct equations.
1. [tex]5x^4(4x^2) = 20x^6[/tex]
Using the laws of exponents, [tex]a^m \times a^n = a^{m+n}[/tex]
Consider the LHS of the equation [tex]5x^4(4x^2) = (5 \times 4) x^{4+2} = 20x^6[/tex].
Therefore, this is the correct equation.
2. [tex]6a^5(6a^5) = 36a^{25}[/tex]
Consider the LHS of the equation [tex]6a^5(6a^5) = (6 \times 6) a^{5+5} = 36a^{10}[/tex].
Therefore, this is not the correct equation.
3. [tex]3z^7(4z^2) = 12z^{9}[/tex]
Consider the LHS of the equation [tex]3z^7(4z^2) = (3 \times 4) z^{7+2} = 12z^{9}[/tex].
Therefore, this is the correct equation.
4. [tex]6b^4(-3b^4) = -18b^{8}[/tex]
Consider the LHS of the equation [tex]6b^4(-3b^4) = (6 \times -3) b^{4+4} = -18b^{8}[/tex].
Therefore, this is the correct equation.
Equations 1,3 and 4 are the correct equations.
The correct equations are 5x⁴(4x²) = 20x⁶, 3z⁷(4z²) = 12z⁹ and 6b⁴(-3b⁴) = -18b⁸
An equation is an expression used to show the relationship between two or more variables and numbers.
Given the equations:
1) 5x⁴(4x²)
Multiplying the two expression gives:
= 20x⁶
2) 6a⁵(6a⁵)
Multiplying the two expression gives:
= 36a¹⁰
3) 3z⁷(4z²)
Multiplying the two expression gives:
= 12z⁹
4) 6b⁴(-3b⁴)
Multiplying the two expression gives:
= -18b⁸
The correct equations are 5x⁴(4x²) = 20x⁶, 3z⁷(4z²) = 12z⁹ and 6b⁴(-3b⁴) = -18b⁸
Find out more on equation at: https://brainly.com/question/2972832
