Product of Powers
What does the product of powers property state?
The product of powers property states that if two non-zero terms with like bases are multiplied, their exponents are added together.
What does the quotient of powers property state?
The quotient of powers property states that when two non-zero terms with like bases are divided, their exponents are subtracted by numerator exponent - denominator exponent.
What does the zero-exponent rule state?
The zero-exponent rule states that any non-zero term with an exponent of 0 is equivalent to 1.
What does the negative-exponent rule state?
The negative-exponent rule states that any non-zero number where the exponent is negative is equal to the reciprocal of the positive exponents.
The power of powers property states that if a term is raised by an exponent, then the exponents of the term are multiplied by the exponent the term is raised by.
Express 42 * 43 in simplified exponential form.
42+3 = 45
Express 97 / 94 in simplest exponential form.
97-4 = 93
Simplify 780.
1
Rewrite 17-3 with a positive exponent.
1/173
Simplify (36)3.
36*3 = 318
Simplify x7 * x-2 * x3
x7+(-2)+3 = x8
Simplify (u3/u-2)/u4.
u(3-(-2))-4 = u1 = u
Solve h0 + 3(u0).
1 + 3(1) = 4
Rewrite (6x)-2 using a positive exponent.
1/6x*6x = 1/(6x)2
Rewrite (x2y)5 using the power of powers property.
x2*5y1*5 = x10y5