Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(3)/(-4)÷(-2(1)/(3))=

3−4÷(−213)= \frac{3}{-4} \div\left(-2 \frac{1}{3}\right)=

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Powers with negative basesright chevron icon

Full solution

Q. 3−4÷(−213)= \frac{3}{-4} \div\left(-2 \frac{1}{3}\right)=
  1. Identify Numbers and Operation: Identify the numbers and the operation.\newlineWe have (3)/(−4)(3)/(-4) divided by (−2(1)/(3))(-2(1)/(3)).
  2. Convert Mixed Number: Convert mixed number to improper fraction.\newline−2(13)-2\left(\frac{1}{3}\right) is the same as −2×33+13-2 \times \frac{3}{3} + \frac{1}{3}, which is −63+13-\frac{6}{3} + \frac{1}{3}, so it's −53-\frac{5}{3}.
  3. Set Up Division as Multiplication: Set up the division as multiplication by the reciprocal. (3)/(−4)÷(−5/3)(3)/(-4) \div (-5/3) is the same as (3)/(−4)×(−3/5)(3)/(-4) \times (-3/5).
  4. Multiply Numerators and Denominators: Multiply the numerators and denominators.\newline(3×−3)/(−4×5)(3 \times -3) / (-4 \times 5) equals −9/−20-9 / -20.
  5. Simplify the Fraction: Simplify the fraction. −9/−20-9 / -20 simplifies to 9/209/20 because the negatives cancel out.

More problems from Powers with negative bases

Question
Factor completely.\newline2x4+4x3−30x2= 2 x^{4}+4 x^{3}-30 x^{2}=
Get tutor helpright-arrow

Posted 4 months ago

Question
Factor completely.\newline7x5−21x4+14x3= 7 x^{5}-21 x^{4}+14 x^{3}=
Get tutor helpright-arrow

Posted 4 months ago

Question
Divide. Write the quotient in lowest terms.\newline12÷115= 12 \div 1 \frac{1}{5}=
Get tutor helpright-arrow

Posted 4 months ago

Question
Divide. Write the quotient in lowest terms.\newline5÷313= 5 \div 3 \frac{1}{3}=
Get tutor helpright-arrow

Posted 4 months ago

Question
Divide. Write the quotient in lowest terms.\newline8÷145= 8 \div 1 \frac{4}{5}=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate the following expression.\newline40⋅8−102= 40 \cdot 8-10^{2}=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate the following expression.\newline9+62−2⋅8= 9+6^{2}-2 \cdot 8=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate the expression. Do not round your answer.\newline(3+2)2−7= (3+2)^{2}-7=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate the expression.\newlineDo not round your answer.\newline(4+3)2+5= (4+3)^{2}+5=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate the following expression.\newline33−10+7= 3^{3}-10+7=
Get tutor helpright-arrow

Posted 4 months ago

View all (70)