Laws of Exponents Equivalent Expressions

Simplify the expression, 2x³ (xy)⁴

• 6x⁴y⁴

• 2x⁴y⁴

• 6x⁷y⁴

• 2x⁷y⁴

Which expression demonstrates the rule used to simplify the expression shown?

• d^-4+5

• d^-4-5

• d^5-4

• d⁵⁺⁴

Which is a correct symbolic representation for multiplying exponential expressions with the same base, y?

• y^myⁿ = y^{m + n}

• y^myⁿ = y^{m - n}

• y^myⁿ = y^{m · n}

• y^myⁿ = y^{m ÷ n}

Which is a correct symbolic representation for dividing exponential expressions with the same base, y?

• y^m/yⁿ = y^{m + n}

• y^m/yⁿ = y^{m - n}

• y^m/yⁿ = y^{m · n}

• y^m/yⁿ = y^{m ÷ n}

A student's incorrect attempt to simplify the exponential expression is shown.

m²n⁵ = (mn)⁷

What is his mistake?

• He should have subtracted the exponents.

• He should have multiplied the exponents.

• He should have divided the exponents.

• The expression cannot be further simplified because the bases are different.

When multiplying exponential terms with the same base, which best explains how to simplify the expression?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

When dividing exponential terms with the same base, which best explains how to simplify the expression?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

Which is an equivalent expression for 6 ² x 6 ^-5

• 6 ^-7

• 6 ⁷

• 6 ^-3

• 6 ³

If (3³)ⁿ x 3² = 3¹⁷, what is the value of n ?

• 2

• 12

• 5

• 4

When simplified, which choice is equivalent to the expression given?

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