The expression x*y has the value y^-2 -(-SQRT(x))^3. find the value of 49* -1/3
just plug and chug.
49 * -1/3 = (-1/3)^(-2)-(-√49))^3
= (-3)^2 - (-7)^3
= 9 + 343
= 352
if x*y is defined as y^-2 -(-SQRT(x))^3 or 1/y^2 + (√x)^3
then 49* -1/3
= 1/(1/9) + (√49)^3
= 9 + 7^3
= ...
To find the value of 49 * -1/3 using the given expression x*y = y^-2 - (-SQRT(x))^3, we substitute x = 49 and y = -1/3.
Therefore, we have:
49 * (-1/3) = (-1/3)^-2 - (-SQRT(49))^3
Now, let's simplify each term step by step:
(-1/3)^-2:
To find the negative power of a number, we can reciprocate the number and apply the positive power. Thus, (-1/3)^-2 becomes 1/(-1/3)^2.
Squaring (-1/3) gives us (1/9). Therefore, (1/(-1/3)^2) becomes (1/(1/9)), and dividing by a fraction is equivalent to multiplying by its reciprocal. So, (1/(1/9)) equals 1 * (9/1), which is 9.
(-SQRT(49))^3:
First, let's find the square root of 49. The square root of 49 is 7. So, (-SQRT(49)) is -7. Now, (-7)^3 is equal to -7 * -7 * -7, which equals -343.
Now, let's substitute the values back into the expression:
49 * (-1/3) = 9 - (-343).
To subtract a negative number, we can rewrite it as a positive number. So, -(-343) becomes 343.
Therefore, 49 * (-1/3) = 9 + 343.
Adding 9 and 343 gives us 352.
Hence, the value of 49 * -1/3 using the given expression is 352.
To find the value of 49 * -1/3, we need to substitute the given values into the expression x * y. In this case, x = 49 and y = -1/3.
Step 1: Start with the original expression: y^-2 - (-SQRT(x))^3
Step 2: Substitute x = 49 and y = -1/3 into the expression: (-1/3)^-2 - (-SQRT(49))^3
Step 3: Simplify the expression: (1/(-1/3)^2) - (-7)^3
Step 4: Simplify further: (1 / (1/9)) - (-343)
Step 5: Evaluate the expression: 9 - (-343)
Step 6: Subtract the negative number: 9 + 343
The value of 49 * -1/3 is 352.