We read your photo as:

(z²)/(z) = z²−1 = z

Mathematics

ScanSolve AI Answer

Step-by-step solution

16 steps

Here are the solutions to problems 21-36:

  1. Simplify z2z\frac{z^2}{z}

    z2z=z2−1=z\frac{z^2}{z} = z^{2-1} = z

    The simplified expression is z\boxed{z}.

  2. Simplify 3x2x\frac{3x^2}{x}

    3x2x=3x2−1=3x\frac{3x^2}{x} = 3x^{2-1} = 3x

    The simplified expression is 3x\boxed{3x}.

  3. Simplify 6x2÷x6x^2 \div x

    6x2÷x=6x2x=6x2−1=6x6x^2 \div x = \frac{6x^2}{x} = 6x^{2-1} = 6x

    The simplified expression is 6x\boxed{6x}.

  4. Simplify 5c2c\frac{5c^2}{c}

    5c2c=5c2−1=5c\frac{5c^2}{c} = 5c^{2-1} = 5c

    The simplified expression is 5c\boxed{5c}.

  5. Simplify 3x3x\frac{3x^3}{x}

    3x3x=3x3−1=3x2\frac{3x^3}{x} = 3x^{3-1} = 3x^2

    The simplified expression is 3x2\boxed{3x^2}.

  6. Simplify 2x3x\frac{2x^3}{x}

    2x3x=2x3−1=2x2\frac{2x^3}{x} = 2x^{3-1} = 2x^2

    The simplified expression is 2x2\boxed{2x^2}.

  7. Simplify 5x3x2\frac{5x^3}{x^2}

    5x3x2=5x3−2=5x\frac{5x^3}{x^2} = 5x^{3-2} = 5x

    The simplified expression is 5x\boxed{5x}.

  8. Simplify 12x33x\frac{12x^3}{3x}

    12x33x=123×x3x=4x3−1=4x2\frac{12x^3}{3x} = \frac{12}{3} \times \frac{x^3}{x} = 4x^{3-1} = 4x^2

    The simplified expression is 4x2\boxed{4x^2}.

  9. Simplify 18a33a\frac{18a^3}{3a}

    18a33a=183×a3a=6a3−1=6a2\frac{18a^3}{3a} = \frac{18}{3} \times \frac{a^3}{a} = 6a^{3-1} = 6a^2

    The simplified expression is 6a2\boxed{6a^2}.

  10. Simplify 26x22x\frac{26x^2}{2x}

    26x22x=262×x2x=13x2−1=13x\frac{26x^2}{2x} = \frac{26}{2} \times \frac{x^2}{x} = 13x^{2-1} = 13x

    The simplified expression is 13x\boxed{13x}.

  11. Simplify 33mn8a\frac{33mn}{8a}

    33mn8a\frac{33mn}{8a}

    The expression cannot be simplified further as there are no common factors in the numerator and denominator. The simplified expression is 33mn8a\boxed{\frac{33mn}{8a}}.

  12. Simplify 42xy7y\frac{42xy}{7y}

    42xy7y=427×xyy=6x\frac{42xy}{7y} = \frac{42}{7} \times \frac{xy}{y} = 6x

    The simplified expression is 6x\boxed{6x}.

  13. Simplify 54ab9b\frac{54ab}{9b}

    54ab9b=549×abb=6a\frac{54ab}{9b} = \frac{54}{9} \times \frac{ab}{b} = 6a

    The simplified expression is 6a\boxed{6a}.

  14. Simplify 72a2b8a\frac{72a^2b}{8a}

    72a2b8a=728×a2ba=9a2−1b=9ab\frac{72a^2b}{8a} = \frac{72}{8} \times \frac{a^2b}{a} = 9a^{2-1}b = 9ab

    The simplified expression is 9ab\boxed{9ab}.

  15. Simplify 48x2y12xy\frac{48x^2y}{12xy}

    48x2y12xy=4812×x2yxy=4x2−1y1−1=4x\frac{48x^2y}{12xy} = \frac{48}{12} \times \frac{x^2y}{xy} = 4x^{2-1}y^{1-1} = 4x

    The simplified expression is 4x\boxed{4x}.

  16. Simplify 40pq28pq\frac{40pq^2}{8pq}

    40pq28pq=408×pq2pq=5p1−1q2−1=5q\frac{40pq^2}{8pq} = \frac{40}{8} \times \frac{pq^2}{pq} = 5p^{1-1}q^{2-1} = 5q

    The simplified expression is 5q\boxed{5q}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp