Multiply the following: 7x^2√2x^8 * 6x^4√23x^9 * 3x^16
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OpenStudy (anonymous):
564159456 sqrt(23) x^(61/2)
OpenStudy (anonymous):
i do not have that
OpenStudy (anonymous):
\[7x^2 * \sqrt{2} x^4*6x^4*\sqrt{23}*x^{9/2}*3x^{16}\]Remember that when exponents of the same base are multiplied, they exponents add. The square root has an exponent of 1/2.
OpenStudy (anonymous):
hm
OpenStudy (anonymous):
(54 x^22) 2 x^7
= 108 x^29
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OpenStudy (anonymous):
Therefore, we would have \[(7*\sqrt{2}*6*\sqrt{24} * 3)*x^{2+4+(9/2) + 16}\]
OpenStudy (anonymous):
i have like 126x^30
OpenStudy (anonymous):
kayser, let me verify that equation you typed. Is it \[7x^2*\sqrt{2x^8}*6x^4*\sqrt{23x^9}*3x^{16}\]
OpenStudy (anonymous):
sir the 6x^4 is with √23x^9
OpenStudy (anonymous):
it is like this 6x^4√23x^9
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OpenStudy (anonymous):
\[6x^{4\sqrt{23x^9}}\]??
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
what would it be then
OpenStudy (anonymous):
Give me a second to type it up.
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
\[7x^{2*\sqrt{2}*x^4}*6x^{4\sqrt{23} \sqrt{x^9}}*3x^{16}\]This further simplifies to \[(7*6*3)^{(2*\sqrt{2}*x^4 + 4*\sqrt{23}x^{9/2}+16)}\] I don't think we can go any further in the exponent.
OpenStudy (anonymous):
kayser, please see my updated solution to the inequality question you asked earlier.