Summary: Dividing Monomials
Key Concepts
- Equivalent Fractions Property
- If [latex]a,b,c[/latex] are whole numbers where [latex]b\ne 0,c\ne 0[/latex], then [latex]\frac{a}{b}=\frac{a\cdot c}{b\cdot c}[/latex] and [latex]\frac{a\cdot c}{b\cdot c}=\frac{a}{b}[/latex]
- Zero Exponent
- If [latex]a[/latex] is a non-zero number, then [latex]{a}^{0}=1[/latex].
- Any nonzero number raised to the zero power is [latex]1[/latex].
- Quotient Property for Exponents
- If [latex]a[/latex] is a real number, [latex]a\ne 0[/latex], and [latex]m,n[/latex] are whole numbers, then [latex]\frac{{a}^{m}}{{a}^{n}}={a}^{m-n},m>n[/latex] and [latex]\frac{{a}^{m}}{{a}^{n}}=\frac{1}{{a}^{n-m}},n>m[/latex]
- Quotient to a Power Property for Exponents
- If [latex]a[/latex] and [latex]b[/latex] are real numbers, [latex]b\ne 0[/latex], and [latex]m[/latex] is a counting number, then [latex]{\left(\frac{a}{b}\right)}^{m}=\frac{{a}^{m}}{{b}^{m}}[/latex]
- To raise a fraction to a power, raise the numerator and denominator to that power.
Glossary
- zero exponent
- If [latex]a[/latex] is a non-zero number, then [latex]{a}^{0}=1[/latex] . Any nonzero number raised to the zero power is [latex]1[/latex].
Licenses & Attributions
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