Product of Powers Property
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.
What does the power of powers property state?
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
Simplify (x0.5y5.6) * (x9.5y7.4)
x0.5+9.5y5.6+7.4 = x10y13
Simplify (x10y12) / (x5y8)
(x10-5) (y12-8) = x5y4
Simplify (x0)234567890
(1)234567890 = 1
Simplify with positive exponents: x5y0z-5
x5 / z5
Simplify (x5y9z0)100
x500y900
Simplify (xy-9) * (y10)
(x)(y-9+10) = xy
Simplify (x234y123z2) / (x233)
(x234-233) (y123) (z2) = xy123z2
Simplify (x0y7) (x7y0)
x0+7 y7+0 = x7y7
Simplify (u-5)(u-900) with positive exponents.
1 / u905
Simplify ((x5y8) / (x4y7)) 3
x3y3