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The simplified form of –9m–2n5 × 2m–3n–6 is –18m6n30.
To simplify the expression –9m–2n5 × 2m–3n–6, you can use the following steps:
1. Combine the numerical coefficients. In this case, –9 and 2 multiply to give –18.
The expression becomes: –18m–2n5 × m–3n–6.
2. Use the rule of exponents for multiplication. When multiplying like bases, you add the exponents.
The expression becomes: –18m(–2+–3)n(5+–6).
3. Simplify the exponents.
–2 + –3 = –5, and 5 + –6 = –1, giving:
–18m–5n–1.
Therefore, the simplified form of –9m–2n5 × 2m–3n–6 is –18m–5n–1.
To simplify the expression –9m–2n5 × 2m–3n–6, you can follow these steps:
Step 1: Combine the numerical coefficients (-9 and 2) by multiplying them together:
-9 * 2 = -18
Step 2: Combine the variables with the same base by adding their exponents:
m-2 * m-3 = m(-2 + -3) = m-5
n5 * n-6 = n(5 + -6) = n-1
Step 3: Put all the simplified parts together:
-18m-5n-1
Therefore, the simplified form of –9m–2n5 × 2m–3n–6 is -18m-5n-1.