What exponent would make the two expressions equivalent: (16^x)6=(16^18)
To find the value of x that would make the two expressions equivalent, we can equate the bases (16) and set the exponents equal to each other.
16^x * 6 = 16^18
Dividing both sides by 6:
16^x = 16^18 / 6
Since the bases are the same, we can set the exponents equal to each other:
x = 18 / 6 = 3
Therefore, the exponent that would make the two expressions equivalent is 3.
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Apply the Zero Power Rule of Integer Exponents to solve 63 to the power of 0.
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, 63 to the power of 0 is equal to 1.
Apply the Zero Power Rule of Integer Exponents to solve 2.3 + (−1.478) to the power of 0.
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1. Therefore, when applying the Zero Power Rule to the expression 2.3 + (−1.478) to the power of 0, we can rewrite it as:
(2.3 + (−1.478))^0
Following the Zero Power Rule, this expression simplifies to:
1^0
Since any number raised to the power of 0 is equal to 1, the final result is:
1
Apply the Zero Power Rule of Integer Exponents to solve −4 to the power of 0 ⋅ 15
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, -4 to the power of 0 is equal to 1.
Now, let's simplify the expression:
-4^0 * 15 = 1 * 15 = 15
So, the result is 15.