Question

(Laws of Exponents with Whole Number Exponents LC)

Answer 1

The given expression will be equal to ( 2.3 )¹⁵ / ( 0.9 )¹². The correct option is D.

What is an expression?

Expression in maths is defined as the collection of 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.

Given expression is 2.3 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power.

Write the expression in the mathematical form and solve:-

[ ( 2.9⁵) / ( 0.9 )⁴ ]³ = [ ( 2.9⁵) / ( 0.9 )⁴ ]³

                             =  [ ( 2.9 )¹⁵ / 0.9 )¹² ]

Therefore, the given expression will be equal to ( 2.3 )¹⁵ / ( 0.9 )¹². The correct option is D.

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Answer 2

Answer:

The equivalent expression will be seven-thirds squared times two-thirds cubed so option (A) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

three-sevenths squared times two-thirds raised to the power of negative three all raised to the power of negative one

⇒ [ (3/7)²  ] to the power -1

⇒ [(3²/7²)(3³/2³)] to the power -1

⇒ [ 3⁵/(2³7²) ] to the power of -1

⇒ [ (3³3²)/(2³7²)] to the power of -1

⇒ [ (3/7)²(3/2)³] to the power of -1

⇒ (7/3)²(2/3)³

Hence "The equivalent expression will be seven-thirds squared times two-thirds cubed".

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