Question

How do you use the laws of exponents to simplify the expression (6y3)42y5?

Answer 1

Answer : 3780 y^2

Step by step explanation :

$(6y \times 3) \times 42y \times 5$

Calculate the product by multiplying the numbers.

$= > (18y) \times 42y \times 5$

Remove unnecessary parenthesis

$= > 18y \times 42y \times 5$

Use rules of multiplication to calculate the expression.

$= > 3780y \times y$

If a term doesn't have an exponent it is considered that the exponent is 1.

$= > 3780y {}^{1} \times y {}^{1}$

Multiply the terms with the same base by adding their exponents.

$= > 3780y {}^{1 + 1}$

Add the numbers

$= > 3780y {}^{2}$