26.03.2023 - 15:17

Simplify: (5x)^3

Simplify: {eq}\displaystyle{ (5x)^3 }{/eq}

{eq}(5x)^3 = 5^3 \cdot x^3 = 125x^3{/eq}

Answers (1)
  • borabo
    April 6, 2023 в 09:51

    To simplify the expression {eq}(5x)^3{/eq}, we need to use the rule for raising a power to a power, which states that: {eq}(a^m)^n = a^{mn}{/eq}.

    Therefore, we can rewrite the expression as follows:

    {eq}(5x)^3 = 5^3 \cdot x^3 = 125x^3{/eq}

    So, the simplified form of the expression is {eq}125x^3{/eq}.

    To understand this, we can break down the process as follows:

    • The expression {eq}(5x)^3{/eq} means that we need to multiply the quantity {eq}(5x){/eq} by itself three \times.
    • We can use the distributive property of multiplication to expand the expression as follows: {eq}(5x)^3 = (5x) \cdot (5x) \cdot (5x){/eq}
    • Then, we can simplify the expression by multiplying the coefficients (the numbers) and the variables (the x's): {eq}(5x)^3 = 5 \cdot 5 \cdot 5 \cdot x \cdot x \cdot x = 125x^3{/eq}

    Therefore, the simplified expression is {eq}125x^3{/eq}.

Do you know the answer?
Not sure about the answer?
Find the right answer to the question Simplify: (5x)^3 by subject Algebra, and if there is no answer or no one has given the right answer, then use the search and try to find the answer among similar questions.
Search for other answers
New questions in the category: Algebra
Authorization
*
*

Password generation