Multiplying Exponents

Front

What is the product of two exponents with the same base?

Back

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

Front

How do you multiply coefficients in algebraic expressions?

Back

To multiply coefficients, simply multiply the numerical values together. For example, 2 * 3 = 6.

Front

What is the result of multiplying 2n^4 and 6n^4?

Back

The result is 12n^8, as you multiply the coefficients (2*6) and add the exponents (4+4).

Front

What is the product of 4x^2 and 3x?

Back

The product is 12x^3, obtained by multiplying the coefficients (4*3) and adding the exponents (2+1).

Front

How do you handle variables when multiplying expressions?

Back

When multiplying expressions, multiply the coefficients and add the exponents of like bases.

Front

What is the result of multiplying 6x^2 and 6x^3y^4?

Back

The result is 36x^5y^4, as you multiply the coefficients (6*6) and add the exponents of x (2+3) while keeping y^4 as is.

Front

What is the product of uv and 4uv^5?

Back

The product is 4u^2v^6, obtained by multiplying the coefficients (1*4) and adding the exponents of u (1+1) and v (1+5).

Front

What is the result of multiplying 6x and 6x^3?

Back

The result is 36x^4, as you multiply the coefficients (6*6) and add the exponents (1+3).

Front

What is the general rule for multiplying exponents?

Back

The general rule is to multiply the coefficients and add the exponents of like bases.

Front

How do you simplify the expression (2x^3)(3x^2)?

Back

You simplify it to 6x^5 by multiplying the coefficients (2*3) and adding the exponents (3+2).