Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Simplify the expression. Write your answers using integers or improper fractions. -(5)/(2)a-5(a+(1)/(2)) Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $-\frac{5}{2} a-5\left(a+\frac{1}{2}\right)$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Multiplication with rational exponents

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

-\frac{5}{2} a-5\left(a+\frac{1}{2}\right)

\newline

Answer:

Distribute and Multiply: Distribute the $-5$ across the parentheses. $\newline$ $-5 \times a + -5 \times (\frac{1}{2})$
Combine Like Terms: Perform the multiplication. $\newline$ $-5a - \left(\frac{5}{2}\right)$
Convert to Fractions: Combine the like terms, which are the terms with the variable $a$ . $-\frac{5}{2}a - 5a$
Add and Combine Fractions: Convert $-5a$ to a fraction with the same denominator as $-(5/2)a$ to combine them. $\newline$ $-5a = -5 \times (2/2)a = -(10/2)a$
Simplify Expression: Add the fractions $-\frac{5}{2}a$ and $-\frac{10}{2}a$ . $-\frac{5}{2}a - \frac{10}{2}a = -\frac{5 + 10}{2} \cdot a = -\frac{15}{2}a$
Simplify Expression: Add the fractions $-\frac{5}{2}a$ and $-\frac{10}{2}a$ . $-\frac{5}{2}a - \frac{10}{2}a = -\frac{5 + 10}{2} \cdot a = -\frac{15}{2}a$ Simplify the expression by combining the constants. $-\frac{15}{2}a$

More problems from Multiplication with rational exponents

Question

\newline

81^{\frac{1}{2}}

\newline

Posted 1 year ago

Question

\newline

(-32)^{1/5}

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 9 months ago

Question

Simplify. Assume all variables are positive.

\newline

(2r^{\frac{1}{3}})^8

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 9 months ago

Question

Simplify. Assume all variables are positive.

\newline

v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 9 months ago

Question

\newline

1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}

\newline

Posted 9 months ago

Question

\newline

32^{(-1/5)}

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

(27x)^{\frac{2}{3}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 year ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant