Product of Powers 6th pd

Front

What is the Product of Powers Property?

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 result of t^9 * t^8?

Back

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

Front

If a^3 * a^5 = a^x, what is x?

Back

x = 3 + 5 = 8.

Front

What is the value of (x^2)^3?

Back

Using the power of a power property: (x^2)^3 = x^(2*3) = x^6.

Front

Simplify: 5a^3 * 2a^4.

Back

5a^3 * 2a^4 = 10a^(3+4) = 10a^7.

Front

What is the result of (2x^3y^2)(3xy^4)?

Back

(2x^3y^2)(3xy^4) = 6x^(3+1)y^(2+4) = 6x^4y^6.

Front

Define the term 'exponent'.

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What is the simplified form of a^5 / a^2?

Back

a^5 / a^2 = a^(5-2) = a^3.

Front

If b^4 * b^3 = b^y, what is y?

Back

y = 4 + 3 = 7.