Question

When –8x²y⁴(3x⁴y¹⁰) is multiplied, the exponent on the y variable is:

Answer 1

The exponent on the y variable after multiplying the expression –8x²y⁴(3x⁴y¹⁰) is 14, as we add the exponents of y from each term (4 and 10) to get y¹⁴.

Step-by-step explanation:

When multiplying exponential expressions with the same base, we add the exponents. In the expression –8x²y⁴(3x⁴y¹⁰), to find the exponent of the variable y after multiplication, we add the exponents of y from both terms, which are 4 and 10, respectively.

Using the rule for multiplying exponents, we get:

• y⁴ × y¹⁰ = y(4+10)

Therefore, the exponent on the y variable after the multiplication is:

• y14