The correct options are \({\text{A} = {\left( {9 \cdot 9} \right)^x},C = {9^x} \cdot {9^x}{\text{ and }}F = {9^{2x}}.\)
Further explanation:
The associative property is defined as a grouping of multiplication, addition, subtraction and division.
Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.
Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.
Given:
The expression is \(10x.\)
The options are as follows,
(A). \(\dfrac{{50x}}{{5x}}\)
(B). \(10 \cdot 10x - 1\)
(C). \(10 \cdot 10x + 1\)
(D). \(\dfrac{{50x}}{5}\)
(E). \(\left( {\dfrac{{50}}{5}} \right)x\)
(F). \({x^5}\)
Explanation:
The expression \(10x\) can also be written as follows,
Solve option (A).
\(\dfrac{{50x}}{{5x}} = 10\)
Option (A) is not correct.
Solve option (B).
\(10 \cdot 10x - 1 = 100x - 1\)
Option (B) is not correct.
Solve option (C).
\(10 \cdot 10x - 1 = 100x - 1\)
Option (C) is not correct.
Solve option (D).
\(\dfrac{{50x}}{5} = 10x\)
Option (D) is correct.
Solve option (E).
\(\left( {\dfrac{{50}}{5}} \right)x = 10x\)
Option (E) is correct.
Solve option (F).
\({x^5}\)
The correct options are \(D=\dfrac{{50x}}{5}{\text{ and }}E = \left( {\dfrac{{50}}{5}} \right)x.\)
Option A, B, C and F are not correct.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: expression, equivalent, one below, 10x, exponents, addition.
