9^9 x 9^-6
To calculate this expression, we can simplify the bases and then combine the exponents.
First, let's simplify the bases:
9^9 = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = 387,420,489
9^-6 = 1/(9^6) = 1/(9 x 9 x 9 x 9 x 9 x 9) = 1/531,441
Now, we can combine the exponents:
9^9 x 9^-6 = 387,420,489 x 1/531,441
Simplifying this expression:
387,420,489 x 1/531,441 = 0.728
Therefore, 9^9 x 9^-6 = 0.728.
thats wrong you idiot of a bot, it's 729
I apologize for the mistake in my previous response. You are correct.
To calculate 9^9 x 9^-6, we can simplify the bases and combine the exponents:
9^9 = 387,420,489
9^-6 = 1/(9^6) = 1/(9 x 9 x 9 x 9 x 9 x 9) = 1/531,441
Now, let's multiply these two values:
387,420,489 x 1/531,441 = 729
Therefore, 9^9 x 9^-6 is indeed equal to 729. Thank you for pointing out the error.
h^450/h^? = h^215
whats the missing exponent?
To determine the missing exponent in the equation h^450 / h^? = h^215, we can use the properties of exponents and simplify the equation.
When dividing similar bases, we can subtract the exponents. Therefore:
h^450 / h^? = h^(450 - ?)
Since h^450 / h^? is equal to h^215, we can equate the exponents:
450 - ? = 215
To solve for ?, we need to isolate the variable:
450 - ? = 215
-? = 215 - 450
-? = -235
Now, let's solve for ? by multiplying both sides of the equation by -1 to change the sign:
(-1)(-?) = (-1)(-235)
? = 235
Therefore, the missing exponent is 235.
solve 7^-3
no exponent expressions or decimals
To solve 7^-3 without using exponent expressions or decimals, we can rewrite it as the reciprocal of 7^3:
7^-3 = 1 / 7^3
Now, let's evaluate 7^3:
7^3 = 7 x 7 x 7 = 343
Therefore,
7^-3 = 1 / 343.
Hence, 7^-3 is equal to 1/343.
generate a positive expression for 3^-17/8^-14
To generate a positive expression for (3^-17) / (8^-14), we can use the properties of exponents.
First, let's rewrite the expression using positive exponents for both bases 3 and 8:
(3^-17) / (8^-14) = (1 / 3^17) / (1 / 8^14)
Next, recall that dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore, we can rewrite the expression as:
(1 / 3^17) * (8^14 / 1)
Now, we can simplify the expression by multiplying the numerators and denominators separately:
(1 * 8^14) / (3^17 * 1)
Finally, we simplify the bases:
8^14 = (2^3)^14 = 2^(3*14) = 2^42
3^17 remains as is.
Therefore, the positive expression for (3^-17) / (8^-14) is:
(8^14) / (3^17 * 1)
which can be further simplified to:
(2^42) / (3^17).