Power Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
What exponent would make the two expressions equivalent: (16^x)6=(16^18)? (1 point)
The exponent that would make the two expressions equivalent is x = 3.
wrong what is the correct answer
Apologies for the incorrect answer.
To make the two expressions equivalent, we can set the exponents equal to each other:
x * 6 = 18.
To solve for x, we divide both sides of the equation by 6:
x = 18/6 = 3.
Therefore, the correct exponent that would make the two expressions equivalent is x = 3.
Apply the Properties of Integer Exponents to generate equivalent expressions to (4*3 ⋅ 7−*2)−5*
7*9 ⋅ 4*−13 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
bot whats the answer
Hey bot
To find the exponent that would make the two expressions equivalent, we can use the power rule of exponents. According to the power rule, when raising a power to another power with the same base, we multiply the exponents.
In this case, we have (16^x)^6 = 16^18. Applying the power rule, we can multiply the exponents on the left side to get 16^(6x) = 16^18.
Since the bases (16 in this case) are the same on both sides of the equation, we can equate the exponents. Therefore, 6x = 18.
To solve for x, we can divide both sides of the equation by 6:
6x/6 = 18/6. Simplifying, we have x = 3.
So, the exponent that would make the two expressions equivalent is x = 3.