User:
• Matrices
• Algebra
• Geometry
• Graphs and functions
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line Equation of a line Equation of a line (from graph) Quadratic function Parallel, coincident and intersecting lines Asymptotes Limits Distances Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 Equations of a straight line Parallel, coincident and intersecting lines Distances Angles in space Inner product

Exponents
Exponents with fractional bases

If the base of an exponential expression is a fraction, the exponent tells us how many times to write that fraction as a factor.

 $(\frac{2}{3})^2=\frac{2}{3}\cdot\frac{2}{3}=\frac{2\cdot2}{3\cdot3}=\frac{4}{9}$ Since the exponent is 2, write the base, $\frac{2}{3}$, as a factor 2 times.

Evaluate $(\frac{1}{4})^3$

 $(\frac{1}{4})^3=\frac{1}{4}\cdot\frac{1}{4}\cdot\frac{1}{4}$ Since the exponent is 3, write the base, $\frac{1}{4}$, as a factor 3 times. $=\frac{1\cdot1\cdot1}{4\cdot4\cdot4}$ Multiply the numerators Multiply the denominators $=\frac{1}{64}$

We read $(\frac{1}{4})^3$ as "one-fourth raised to the third power", or as "one fourth, cubed"

Evaluate $(-\frac{2}{3})^2$

 $(-\frac{2}{3})^2=(-\frac{2}{3})\cdot(-\frac{2}{3})$ Since the exponent is 2, write the base, $-\frac{2}{3}$, as a factor 2 times. $=\frac{2\cdot2}{3\cdot3}$ Multiply the numerators Multiply the denominators $=\frac{4}{9}$

We read $(-\frac{2}{3})^2$ as "negative two-thirds raised to the second power", or as "negative two-thirds, squared"

Evaluate $-(\frac{2}{3})^2$

Recall that if the - symbol is not within the parentheses, it is not part of the base.

 $-(\frac{2}{3})^2=-(\frac{2}{3})\cdot(\frac{2}{3})$ Since the exponent is 2, write the base, $\frac{2}{3}$, as a factor 2 times. $=-\frac{2\cdot2}{3\cdot3}$ Multiply the numerators Multiply the denominators $=-\frac{4}{9}$

We read $-(\frac{2}{3})^2$ as "the opposite of two-thirds squared"