Question - Solving Expression using Distributive Property and Combining Like Terms
Solution:
To solve the expression given in the image, you'll need to apply the distributive property and combine the like terms.The expression is:$$-6x^2(3x^5)$$When multiplying two exponential expressions with the same base, you add the exponents:$$x^2 \cdot x^5 = x^{2+5} = x^7$$Now multiply the coefficients, which are the numerical parts:$$-6 \cdot 3 = -18$$Combining both parts, you get:$$-18x^7$$So the simplified expression is:$$-18x^7$$
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