Questions: Simplify: (2 x^6 y^0)(7 x^0)

Transcript text: Simplify: $\left(2 x^{6} y^{0}\right)\left(7 x^{0}\right)$

Solution

Solution Steps

Step 1: Multiply the coefficients

To simplify the expression $\left(a x^{m} y^{n}\right)\left(b x^{p} y^{q}\right)$, first, we multiply the coefficients $a$ and $b$. Given $a = 2$ and $b = 7$, the new coefficient $c$ is calculated as $c = a \times b = 14$.

Step 2: Add the exponents of x

Next, we add the exponents of $x$ in both terms. Given $m = 6$ and $p = 0$, the new exponent of $x$, $r$, is $m + p = 6$.

Step 3: Add the exponents of y

Similarly, we add the exponents of $y$ in both terms. Given $n = 0$ and $q = 0$, the new exponent of $y$, $s$, is $n + q = 0$.

Final Answer:

The simplified expression is $c x^{r} y^{s} = 14 x^{6} y^{0}$.

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