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Answer :
To simplify the expression [tex]\((-7x^2)(x^4)\)[/tex], let's break it down step by step:
1. Identify the components in the expression: We have [tex]\(-7x^2\)[/tex] and [tex]\(x^4\)[/tex].
2. Multiply the coefficients: The coefficient in front of [tex]\(x^2\)[/tex] is -7, and the coefficient of [tex]\(x^4\)[/tex] is 1 (since it's just [tex]\(x^4\)[/tex]). When you multiply these coefficients together, you get [tex]\(-7 \times 1 = -7\)[/tex].
3. Multiply the powers of [tex]\(x\)[/tex]: According to the law of exponents, when you multiply same bases, you add the exponents. Here, we have [tex]\(x^2\)[/tex] and [tex]\(x^4\)[/tex]. So, you add the exponents: [tex]\(2 + 4 = 6\)[/tex].
4. Combine the results: The expression becomes [tex]\(-7x^{6}\)[/tex].
Therefore, the simplified expression is [tex]\(-7x^{6}\)[/tex].
1. Identify the components in the expression: We have [tex]\(-7x^2\)[/tex] and [tex]\(x^4\)[/tex].
2. Multiply the coefficients: The coefficient in front of [tex]\(x^2\)[/tex] is -7, and the coefficient of [tex]\(x^4\)[/tex] is 1 (since it's just [tex]\(x^4\)[/tex]). When you multiply these coefficients together, you get [tex]\(-7 \times 1 = -7\)[/tex].
3. Multiply the powers of [tex]\(x\)[/tex]: According to the law of exponents, when you multiply same bases, you add the exponents. Here, we have [tex]\(x^2\)[/tex] and [tex]\(x^4\)[/tex]. So, you add the exponents: [tex]\(2 + 4 = 6\)[/tex].
4. Combine the results: The expression becomes [tex]\(-7x^{6}\)[/tex].
Therefore, the simplified expression is [tex]\(-7x^{6}\)[/tex].
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