Simplifying Exponents with Key Laws

What is the result of multiplying 5^3 by 5^2?

• 5^6

• 5^5

• 25^5

• 10^5

What is the simplified form of x^3 * x^4?

• x^7

• x^12

• 7x

• 12x

How do you simplify the expression 2 * 3 * x^2 * x^4?

• 9x^6

• 6x^8

• 5x^6

• 6x^6

What does the expression 2x^2 * 3x^4 simplify to?

• 6x^8

• 5x^8

• 9x^6

• 6x^6

What does a negative exponent indicate in terms of fraction placement?

• The exponent becomes positive.

• The base moves to the numerator.

• The base moves to the denominator.

• The base is squared.

How do you simplify (x^4)/(x^2)?

• x^2

• x^8

• x^6

• 2x

How do you handle a base raised to a negative exponent?

• Place the base in the denominator with a positive exponent.

• Multiply the base by itself.

• Subtract the exponent from the base.

• Leave the expression as is.

What is the result of (2^2)^(4)?

• 2^8

• 2^6

• 4^4

• 16^2

How do you simplify expressions involving both multiplication and division of exponents?

• By adding exponents when multiplying and subtracting when dividing.

• By multiplying exponents regardless of operation.

• By dividing exponents regardless of operation.

• By subtracting exponents when multiplying and adding when dividing.

What is the result of applying the power to a power rule to (x^2y^4)^3?

• x^6y^12

• x^8y^12

• x^3y^7

• x^6y^8