Use the Power Rule of Exponents to create a simplified equivalent expression for (194)9.(1 point)
The Power Rule of Exponents states that when raising a power to a power, you need to multiply the exponents.
Therefore, we can simplify the expression (194)^9 as follows:
(194)^9 = (1^9)(9^9)(4^9)
= 1^9 * 9^9 * 4^9
= 1 * 9^9 * 4^9
= 9^9 * 4^9
So, the simplified equivalent expression for (194)^9 is 9^9 * 4^9.
The Power Rule of Exponents states that when raising a power to another power, we can multiply the exponents.
In this case, we have (194)^9. To simplify this expression using the Power Rule of Exponents, we multiply the exponents:
(194)^9 = 194^(9*1) = 194^9
Therefore, the simplified equivalent expression for (194)^9 is 194^9.
To simplify the expression (194)9 using the Power Rule of Exponents, we can apply the rule which states that when raising a power to another power, we multiply the exponents. In this case, we have a number (194) raised to the power of 9.
The Power Rule of Exponents can be expressed as:
(a^m)^n = a^(m * n)
Therefore, we can simplify (194)9 as follows:
(194)9 = 194^(9 * 1)
Since the exponent inside the parentheses is 1, the expression remains the same.
= 194^9
Hence, the simplified equivalent expression of (194)9 is 194^9.