Final answer:
Expressions equivalent to 6 times 5 squared are '6 x 5 x 5' and the value is '150'. Both D and F are the correct answers in the provided options.
Step-by-step explanation:
To identify the expressions and the value that are equivalent to 6 times 5 squared, we must perform the operation given by squaring 5 and then multiplying the result by 6. Squaring a number means to multiply the number by itself, so 5 squared is 5×5, which equals 25. Multiplying this result by 6 gives us 6×25, which results in 150.
Now, let's evaluate the provided options:
- A. 5 x 69 - This is not equivalent to 6 x 5².
- B. 6 x 5´ - This represents 6 x (5x5x5x5), which is not equivalent to 6 x 5².
- C. 192 - This does not match the value of 6 x 5².
- D. 6 x 5 x 5 - This is the correct representation of 6 times 5 squared.
- E. 6 x 5 x 2 - This differs from 6 x 5².
- F. 150 - This is the correct value of 6 x 5².
- G. 6 + 5 x 5 - This involves addition rather than the required multiplication.
Thus, the expressions equivalent to 6 times 5 squared are D. 6 x 5 x 5 and F. 150.