Solve (5·x·3)³: Step-by-Step Cube Power Calculation

Question

(5⋅x⋅3)3= (5\cdot x\cdot3)^3=

Video Solution

Solution Steps

00:00 Simply
00:05 We'll use the formula for exponents of multiplication
00:10 Any multiplication raised to the power (N)
00:13 equals each factor separately raised to the same power (N)
00:16 We'll use this formula in our exercise, let's identify the factors
00:22 Let's open the parentheses and raise each factor to the appropriate power
00:27 And this is the solution to the question

Step-by-Step Solution

We use the formula:

(a×b)n=anbn (a\times b)^n=a^nb^n

(5×x×3)3=(15x)3 (5\times x\times3)^3=(15x)^3

(15x)3=(15×x)3 (15x)^3=(15\times x)^3

153x3 15^3x^3

Answer

153⋅x3 15^3\cdot x^3

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