Question

Apply the caution of powers property to simplify the numeric expression.

A. 2^3 . 2^5
B. 5^4 . 5^2
C. 7^6 . 7^3
D. 4^2. 4^4

Answer 1

To simplify the numeric expressions using the power of powers property, we add the exponents with the same base. The result is 256 for A, 15625 for B, 40353607 for C, and 4096 for D.

Step-by-step explanation:

To simplify the numeric expression using the property of powers, we can combine the exponents with the same base. Applying this property:

A. 23 ⋅ 25

We add the exponents 3 and 5 together: 23+5 = 28 = 256

B. 54 ⋅ 52

Again, we add the exponents 4 and 2 together: 54+2 = 56 = 15625

C. 76 ⋅ 73

Adding the exponents 6 and 3 together: 76+3 = 79 = 40353607

D. 42⋅ 44

Once again, adding the exponents 2 and 4: 42+4 = 46 = 4096