Product of Powers 4th pd

Front

What is the product of powers rule?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Calculate the area of a rectangle with length 4a^4b^5 and width 3a^2b^3.

Back

Area = length ⋅ width = 4a^4b^5 * 3a^2b^3 = 12a^(4+2)b^(5+3) = 12a^6b^8.

Front

What is the value of t^9 * t^8?

Back

t^9 * t^8 = t^(9+8) = t^17.

Front

If a^3 * a^5 = ?

Back

a^3 * a^5 = a^(3+5) = a^8.

Front

What is the area of a rectangle with length 2x^3 and width 5x^2?

Back

Area = length ⋅ width = 2x^3 * 5x^2 = 10x^(3+2) = 10x^5.

Front

Simplify: (x^4)^3

Back

(x^4)^3 = x^(4*3) = x^12.

Front

What is the product of 2a^2 and 3a^3?

Back

2a^2 * 3a^3 = 6a^(2+3) = 6a^5.

Front

If b^5 * b^2 = ?

Back

b^5 * b^2 = b^(5+2) = b^7.

Front

What is the area of a rectangle with length 7m^2 and width 4m^3?

Back

Area = length ⋅ width = 7m^2 * 4m^3 = 28m^(2+3) = 28m^5.

Front

Calculate: (2x^2y^3)(3xy^2)

Back

(2x^2y^3)(3xy^2) = 6x^(2+1)y^(3+2) = 6x^3y^5.