Question

Whenever you multiply 2 or more terms with the same base, you can add the exponents. Whenever you divide 2 or more terms with the same base, you can subtract the exponents. Whenever you have an exponent expression that is raised to a power, you can multiply the exponent and power. Using the basic exponent rules above, simplify each expression.

a) 4^9
b) 3^10
c) 5^3
d) y^5

Answer 1

The expressions 4^9, 3^10, 5^3, and y^5 are already in their simplest form, utilizing basic exponent rules which include adding, subtracting, or multiplying exponents depending on the operation.

Step-by-step explanation:

The student asked about simplifying expressions using basic exponent rules. No calculations are required for a) 4^9, b) 3^10, c) 5^3, and d) y^5 as they are already in simplest form. The basic rules of exponents include: when multiplying terms with the same base, add their exponents (3^2 * 3^3 = 3^(2+3) = 3^5); when dividing terms with the same base, subtract the exponents (3^5 / 3^2 = 3^(5-2) = 3^3); when raising an exponent to another power, multiply the exponents ((3^2)^3 = 3^(2*3) = 3^6).