Use the Product Rule of Exponents to simplify the expression 13^10 times 13^4
To simplify the expression 13^10 * 13^4 using the Product Rule of Exponents, we add the exponents when multiplying two powers with the same base.
The Product Rule of Exponents states that for any nonzero number a, a^m * a^n = a^(m+n).
In this case, we have 13^10 * 13^4, so we can add the exponents:
10 + 4 = 14
Therefore, 13^10 * 13^4 simplifies to 13^14.
To simplify the expression 13^10 times 13^4 using the Product Rule of Exponents, we need to add the exponents of the same base, which in this case is 13.
The Product Rule of Exponents states that a^m times a^n = a^(m + n).
So, applying the Product Rule, we add the exponents 10 and 4:
13^10 times 13^4 = 13^(10 + 4)
Adding the exponents, we get:
13^14
Therefore, the simplified expression is 13^14.
To simplify the expression 13^10 times 13^4 using the Product Rule of Exponents, we add the exponents while keeping the same base.
In this case, the base is 13.
The Product Rule of Exponents states that when multiplying two numbers with the same base, you add their exponents.
So, to simplify 13^10 times 13^4, we add the exponents:
10 + 4 = 14.
Therefore, the simplified expression is 13^14.