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Create an equivalent expression for [tex]1.3^{3}[/tex] over [tex]1.2^{2}[/tex] raised to the fourth power all raised to the power of negative six.

1.2 raised to the twenty-fourth power over 1.3 to the eighteenth power
1.2 squared over 1.3 cubed
1.3 to the eighteenth power over 1.2 to the twenty-fourth power
1.3 cubed over 1.2 squared

Sagot :

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1.2= −

fourth=

1.3=

1.2=

1.3=

1.3=

1.2=−

fourth=

1.3=

1.2=

The equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

Given an expression [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex].

We are required to find the equivalent expression of the given expression.

Expression is combination of numbers, fraction,symbols, coefficients, determinants, indeterminants or algebraic operations.  It shows some relationship also. It is found without equal to form.

Expression is [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]

It is in fraction as we know that fraction is combination of two numbers one is numerator and denominator.

First we need to multiply the powers present in numerator and denominator.

=[tex](1.3)^{-18} /[{(1.2)^{2}}^{-24} ][/tex]

We have to invert the numerator and denominator because the powers in negative.

=[tex][(1.2)^{2}]^{24} /(1.3)^{18}[/tex]

Hence the equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

Learn more about expression at https://brainly.com/question/723406

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