What is the base and the exponent in 1.25⋅1.25⋅1.25 expressed using exponents?(1 point)
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The base is 1.25 and the exponent is 3.
Evaluate the expression 16/4+2^4 +6 .
To evaluate the expression 16/4+2^4 +6, we need to follow the order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
The expression does not contain parentheses or exponents, so we move on to multiplication/division.
16/4 = 4.
Next, we perform the exponentiation: 2^4 = 2 × 2 × 2 × 2 = 16.
Now we have: 4 + 16 + 6.
Finally, we perform the addition: 4 + 16 + 6 = 26.
Therefore, the expression 16/4+2^4 +6 equals 26.
Solve the multi-step problem 6−4(3−1)^2+16.
To solve the multi-step problem 6−4(3−1)^2+16, we need to follow the order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, we simplify the expression inside the parentheses: (3−1)^2 = 2^2 = 4.
Next, we simplify the expression inside the brackets: 6−4(4)+16.
Now we perform the multiplication that is left: 6−16+16.
Finally, we perform the addition and subtraction from left to right: 6−16+16 = -10 + 16 = 6.
Therefore, the solution to the multi-step problem 6−4(3−1)^2+16 is 6.
Using the Product Rule of Exponents, what is an equivalent form of 9^5⋅9^2 ?
9^(5/2)
9^10
9^7
9^3
According to the Product Rule of Exponents, when multiplying two exponential expressions with the same base, we add their exponents.
Therefore, an equivalent form of 9^5⋅9^2 is 9^(5+2), which simplifies to 9^7.
So, the correct answer is 9^7.
Using the Product Rule of Exponents, what is an equivalent form of 1^9⋅1^8 ?
According to the Product Rule of Exponents, when multiplying two exponential expressions with the same base, we add their exponents.
In this case, regardless of the value of the base (which in this case is 1), any number raised to the power of 1 is still equal to the number itself.
So, an equivalent form of 1^9⋅1^8 is 1^(9+8), which simplifies to 1^17.
Therefore, the expression 1^9⋅1^8 is always equal to 1^17.