Question

Which is an equivalent expression for four sevenths squared times two thirds raised to the power of negative three all raised to the power of negative one?
four sevenths squared times two thirds raised to the power of negative three
seven fourths squared times two thirds cubed
seven fourths to the power of negative two times two thirds to the power of negative three
four sevenths times two thirds raised to the power of negative four

Answer 1

Seven-fourths squared times two-thirds cubed the expression is (7/4)² x (2/3)³. The correct option is B.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

[ ( 4 / 7)² x ( 2 / 3)⁻³ ]⁻¹ =  ( 4 / 7)⁻² x  (2 / 3)³

[ ( 4 / 7)² x ( 2 / 3)⁻³ ]⁻¹ = ( 7 / 4)² x  (2 / 3)³

Therefore, seven-fourths squared times two-thirds cubed the expression is (7/4)² x (2/3)³. The correct option is B.

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