Question

Which equations are correct? Select each correct answer. Responses 4b4(−3b6)=−12b24 4 b to the power of 4 open parentheses negative 3 b to the power of 6 close parentheses equals negative 12 b to the power of 24 4y5(2y6)=8y11 4 y to the power of 5 open parentheses 2 y to the power of 6 close parentheses equals 8 y to the power of 11 6x4(5x8)=30x12 6 x to the power of 4 open parentheses 5 x to the power of 8 close parentheses equals 30 x to the power of 12 5s3(3s4)=15s12

Answer 1

It is not correct equations to say that 6x4(5x8)=30x12.

The equations are:

4b4(−3b6)=−12b24

4y5(2y6)=8y11

5s3(3s4)=15s12

The equation 6x4(5x8)=30x12 is not correct.

To see why, we can simplify both sides of the equation:

6x4(5x8) = 30x12

(6x4)(5x8) = (6x5)(4x8)

240x = 240x

This equation is true for all values of x, which means that it is an identity, not an equation with a specific solution.

The formulas are as follows: 4b4(3b6)=12b24, 4y5(2y6)=8y11, and 5s3(3s4)=15s12.

6x4(5x8)=30x12 is an incorrect equation.

We can simplify both sides of the equation to understand why:

6x4(5x8) equals 30x12 (6x4)(5x8) equals 6x5(4x8)

240x = 240x

Since this equation holds true for all values of x, it is an identity rather than an equation with a single solution.

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