Solve (y×7×3)⁴: Finding the Fourth Power of a Product

Question

(y×7×3)4= (y\times7\times3)^4=

Video Solution

Solution Steps

00:00 Solve
00:02 When there is a power on a product of terms, all terms are raised to that power

Step-by-Step Solution

We use the power law for multiplication within parentheses:

(x⋅y)n=xn⋅yn (x\cdot y)^n=x^n\cdot y^n

We apply it in the problem:

(y⋅7⋅3)4=y4⋅74⋅34 (y\cdot7\cdot3)^4=y^4\cdot7^4\cdot3^4

Therefore, the correct answer is option a.

Note:

From the formula of the power property mentioned above, we can understand that it applies not only to two terms within parentheses, but also for multiple terms within parentheses.

Answer

y4×74×34 y^4\times7^4\times3^4

More Questions

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Exponent of a Multiplication

Question Types

Applying Combined Exponents Rules: Binomial Applying Combined Exponents Rules: Single Variable Applying Combined Exponents Rules: Variable in the base of the power Applying Combined Exponents Rules: A power law Power of a Product: Variable in the base of the power