Division with Exponents Worksheet

Are you a math teacher or a student who wants to practice division with exponents? If so, this division with exponents worksheet is perfect for you. This worksheet is designed to help you understand and master the concept of dividing numbers that have exponents. It provides a range of exercises that will test your understanding of the topic and help you improve your skills.

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What is the quotient when (5x^3y^2) is divided by (xy)?

The quotient when (5x^3y^2) is divided by (xy) is 5x^2y.

Evaluate (a^4b^2) ÷ (a^2b^2) when a=3 and b=2.

Substitute the values of a=3 and b=2 into the expression (a^4b^2) ÷ (a^2b^2) to get (3^4 * 2^2) ÷ (3^2 * 2^2). This simplifies to (81 * 4) ÷ (9 * 4), which equals 324 ÷ 36, or 9. Therefore, when a=3 and b=2, the expression (a^4b^2) ÷ (a^2b^2) evaluates to 9.

Simplify (6x^4) ÷ (2x^2).

The simplified form of (6x^4) ÷ (2x^2) is 3x^2.

What is the result when (8x^3y) is divided by (4xy)?

The result of dividing (8x^3y) by (4xy) is 2x^2.

Evaluate (m^5n^2) ÷ (mn) when m=2 and n=3.

When evaluating (m^5n^2) ÷ (mn) when m=2 and n=3, we substitute the values of m and n into the expression. This gives us (2^5 * 3^2) ÷ (2 * 3). Simplifying this further, we get (32 * 9) ÷ 6 = 288 ÷ 6 = 48. Therefore, when m=2 and n=3, the value of the expression is 48.

Simplify (x^6) ÷ (x^2).

To simplify the expression (x^6) ÷ (x^2), we can subtract the exponent in the denominator from the exponent in the numerator since both bases are the same. Therefore, x^(6-2) = x^4. Thus, (x^6) ÷ (x^2) simplifies to x^4.

What is the quotient when (9x^4y^3z^2) is divided by (3xyz)?

The quotient when (9x^4y^3z^2) is divided by (3xyz) is 3x^3y^2z.

Evaluate (a^3b^2) ÷ (a^2b^3) when a=4 and b=5.

By substituting the values of a=4 and b=5 into the expression, we get (4^3 * 5^2) ÷ (4^2 * 5^3). This simplifies to (64 * 25) ÷ (16 * 125), which further simplifies to 1600 ÷ 2000, giving us a final result of 0.8.

Simplify (10x^3y^2) ÷ (5xy).

The given expression simplifies to 2x^2y.

What is the result when (12x^5y) is divided by (6xy)?

The result of dividing (12x^5y) by (6xy) is 2x^4.