How am I supposed to solve 2x^0y^-3 when x = 7 and y = -4?
Also, what steps must I take to solve x^10/d^-3?
x^0 = 1
So, plug in y=-4 and you have
2(1)(-4)^-3 = 2/-64 = -1/32
If you have values for x and d, just plug them in.
Remember that odd powers of negative numbers are negative, and even powers of any number are positive.
To solve the expression 2x^0y^-3 when x = 7 and y = -4, follow these steps:
Step 1: Substitute the given values for x and y into the expression.
2(7^0)(-4^-3)
Step 2: Simplify the exponents.
7^0 equals 1, and -4^-3 equals -1/64.
Step 3: Evaluate the expression.
2(1)(-1/64) = (-2/64) = -1/32.
Therefore, the value of the expression 2x^0y^-3 when x = 7 and y = -4 is -1/32.
To solve the expression x^10/d^-3, follow these steps:
Step 1: Rewrite the expression using positive exponents.
(x^10)/(d^-3) = (x^10)/(1/d^3)
Step 2: Apply the rule for dividing by a fraction.
To divide by a fraction, you can multiply by its reciprocal. Therefore, (x^10)/(1/d^3) is equivalent to (x^10) * (d^3/1).
Step 3: Simplify the expression.
Multiply the exponents: x^10 * d^3 = x^10d^3.
Therefore, the simplified form of the expression x^10/d^-3 is x^10d^3.
To solve the expression 2x^0y^-3 when x = 7 and y = -4, you can follow these steps:
Step 1: Replace x with 7 and y with -4 in the expression:
2(7)^0(-4)^-3
Step 2: Simplify the powers of 7 and -4:
2(1)(-1/64)
Step 3: Multiply the numbers:
2 * (-1/64) = -2/64 = -1/32
So, when x = 7 and y = -4, the expression 2x^0y^-3 evaluates to -1/32.
Now, let's move on to solving the expression x^10/d^-3. Here are the steps:
Step 1: Identify the operations involved:
We have two operations in this expression - exponentiation (raising x to the power of 10 and d to the power of -3) and division.
Step 2: Apply the exponentiation operation:
x^10/d^-3 can be rewritten as x^10 * d^3. This is because when we divide x^10 by d^-3, it is equivalent to multiplying x^10 by the reciprocal of d^-3, which is d^3.
Step 3: Simplify the expression:
Now that we have x^10 * d^3, we can substitute any given values for x and d to find the numerical result.
For example, if x = 5 and d = 2, we replace x with 5 and d with 2:
5^10 * 2^3
Step 4: Evaluate the expression:
Using a calculator, you can now calculate the result of 5^10 (which is 9,765,625) and 2^3 (which is 8). Then, multiply these two numbers:
9,765,625 * 8 = 78,125,000
So, when x = 5 and d = 2, the expression x^10/d^-3 evaluates to 78,125,000.