Question

The expression (x^13)(x^6) is equivalent to x^p. What is the value of p?

Answer 1

Answer:

p=19

Step-by-step explanation:

since the instructions say that ($x^{13}$)($x^{6}$) is equivalent to $x^{p}$, we can make the equation:

($x^{13}$)($x^{6}$)=$x^{p}$

now, apply the laws of exponents; $a^{m} * a^{n} =a^{m+n}$

in that case, since we're multiplying x to the 13th power by x to the 6th, the result is $x^{13+6}$, which is $x^{19}$

the equation now:

$x^{19}$=$x^{p}$

since the exponents are at the same base, we can solve the equation

19=p

so p is 19

hope this helps :)