The property used to simplify (-m \cdot m) is the property of exponents, specifically the product of powers rule. According to this rule, when multiplying the same base, you add the exponents. In this case, (-m \cdot m) simplifies to (-m^2), as the negative sign remains and the bases combine.
2m
To simplify (6^2 \times 6^3), you can use the property of exponents that states (a^m \times a^n = a^{m+n}). In this case, you add the exponents: (2 + 3 = 5). Therefore, (6^2 \times 6^3 = 6^5).
property
Gather like terms: 2m - m + 3 + 4 = m + 7.
Yes. A simple example: sqrt(2)*sqrt(2) = 2 This property is used to "simplify" (rationalise the denominator of) surds.
6
2m
To simplify (6^2 \times 6^3), you can use the property of exponents that states (a^m \times a^n = a^{m+n}). In this case, you add the exponents: (2 + 3 = 5). Therefore, (6^2 \times 6^3 = 6^5).
When using the distributive property to write an expression, you do not simplify within the parentheses before applying the property. The distributive property involves multiplying the term outside the parentheses by each term inside the parentheses. Once you have distributed the term, you can then simplify the resulting expression by combining like terms. Simplifying before distributing would result in an incorrect application of the distributive property.
m7/2
property
m - 285 = 25.6 is simplified.
22680 is the answer
To simplify (m^3 \times m^6), you add the exponents when multiplying like bases. In this case, the base is (m), so you would add the exponents 3 and 6 to get (m^{3+6} = m^9). Therefore, (m^3 \times m^6) simplifies to (m^9).
m3*m5 = m3+5 = m8
m-2+1-2m+1 When simplified: -m
Gather like terms: 2m - m + 3 + 4 = m + 7.