The correct options are [tex]{\text{A} = {\left( {9 \cdot 9} \right)^x},C = {9^x} \cdot {9^x}{\text{ and }}F = {9^{2x}}.[/tex]
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 [tex]10x.[/tex]
The options are as follows,
(A). [tex]\dfrac{{50x}}{{5x}}[/tex]
(B). [tex]10 \cdot 10x - 1[/tex]
(C). [tex]10 \cdot 10x + 1[/tex]
(D). [tex]\dfrac{{50x}}{5}[/tex]
(E). [tex]\left( {\dfrac{{50}}{5}} \right)x[/tex]
(F). [tex]{x^5}[/tex]
Explanation:
The expression [tex]10x[/tex] can also be written as follows,
Solve option (A).
[tex]\dfrac{{50x}}{{5x}} = 10[/tex]
Option (A) is not correct.
Solve option (B).
[tex]10 \cdot 10x - 1 = 100x - 1[/tex]
Option (B) is not correct.
Solve option (C).
[tex]10 \cdot 10x - 1 = 100x - 1[/tex]
Option (C) is not correct.
Solve option (D).
[tex]\dfrac{{50x}}{5} = 10x[/tex]
Option (D) is correct.
Solve option (E).
[tex]\left( {\dfrac{{50}}{5}} \right)x = 10x[/tex]
Option (E) is correct.
Solve option (F).
[tex]{x^5}[/tex]
The correct options are [tex]D=\dfrac{{50x}}{5}{\text{ and }}E = \left( {\dfrac{{50}}{5}} \right)x.[/tex]
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.
