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$Perform the operation and express your answer as a single fraction in simplest form. 1-(3)/(4x^(3)) Answer:$

Perform the operation and express your answer as a single fraction in simplest form. $\newline$ $1-\frac{3}{4 x^{3}}$ $\newline$ Answer:

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Evaluate integers raised to rational exponents

Full solution

Q. Perform the operation and express your answer as a single fraction in simplest form.

\newline

1-\frac{3}{4 x^{3}}

\newline

Answer:

Identify Terms: Identify the terms in the expression. $\newline$ We have two terms: $1$ and $-\frac{3}{4x^{3}}$ .
Express as Fraction: Express the number $1$ as a fraction with the same denominator as $\frac{3}{4x^{3}}$ . To do this, we need to multiply $1$ by $\frac{4x^{3}}{4x^{3}}$ which is equal to $1$ . $1 \times \frac{4x^{3}}{4x^{3}} = \frac{4x^{3}}{4x^{3}}$
Perform Multiplication: Perform the multiplication to express $1$ as a fraction. $\frac{4x^{3}}{4x^{3}} = \frac{4x^{3}}{4x^{3}}$
Rewrite with Common Denominator: Rewrite the original expression with the common denominator. $\newline$ Now we have $(4x^{3})/(4x^{3}) - (3)/(4x^{3})$ .
Subtract Fractions: Subtract the fractions. $\newline$ Since they have the same denominator, we can subtract the numerators directly. $\newline$ $(\frac{4x^{3} - 3}{4x^{3}})$
Simplify Expression: Simplify the expression if possible. $\newline$ The expression $(4x^{3} - 3)/(4x^{3})$ is already in its simplest form because the numerator and the denominator do not have any common factors other than $1$ .

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