Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.

1.3 squared over 1.5 cubed
1.3 to the twenty-fourth power over 1.5 to the eighteenth power
1.5 cubed over 1.3 squared
1.5 to the eighteenth power over 1.3 to the twenty-fourth power

Create an equivalent expression for 15 cubed over 13 raised to the fourth power all raised to the power of negative six 13 squared over 15 cubed 13 to the twent class=

Respuesta :

[tex]\left(\frac{1.5^3}{1.3^4} \right)^{-6}=\left(\frac{1.3^4}{1.5^3} \right)^6=\boxed{\frac{1.3^{24}}{1.5^{18}}}[/tex]

The expression is ( 1.5³/1.3^4)^(-6).

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

  • Constant: A constant is a fixed numerical value.
  • Variable: A variable is a symbol that doesn't have a fixed value.
  • Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
  • Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given statement:

1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.

1.5 cubed over 1.3 = 1.5³/1.3

1.5 cubed over 1.3 raised to the fourth power =  1.5³/1.3^4

1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six = ( 1.5³/1.3^4)^(-6)

Hence, the expression is ( 1.5³/1.3^4)^(-6).

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