A) \( \Large 9^{60}<27^{35} \) |
B) \( \Large 9^{60} \le 27^{35} \) |
C) \( \Large 9^{60}>27^{35} \) |
D) \( \Large 9^{60}\ge 27^{35} \) |
C) \( \Large 9^{60}>27^{35} \) |
\( \Large 9^{60}= \left(3^{2}\right)^{60}=3^{120} \)
and \( \Large 27^{35}= \left(3^{3}\right)^{35}=3^{105} \)
\( \Large 9^{60} > 27^{35} \)
1). Solve \( \Large \left[ 5^{3} \times 8^{2} \times \left(x^{-9}\right)^{1/3} \right]^{-1/3} \) is
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2). If \( \Large \left( a^{n^{2}} \right) = \left( a^{2^{n}} \right)^{2} \), then
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3). If a four-digit number of the form aabb is a perfect square, then the number is
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4). Which of the following is largest number?
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5). If \( \Large f \left(x\right)=ax+b,\ f \left(1\right)=-2,\ and\ f \left(2\right)=6,\ then\ f \left(3\right)\) is equal to:
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6). The value of x in the equation \( \Large 2^{x-6}=256 \) is
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7). If \( \Large 16^{x+1}=\frac{64}{4^{x}} \), then value of x is
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8). If x = 2a - 1, y = 2a - 2, z = 3 - 4a, then value of \( \Large x^{3}+y^{3}+z^{3} \) will be
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9). Value of \( \Large \frac{ \left(a^{2}-b^{2}\right)^{3}+ \left(b^{2}-c^{2}\right)^{3}+ \left(c^{2}-a^{2}\right)^{3} }{ \left(a-b\right)^{3}+ \left(b-c\right)^{3}+ \left(c-a\right)^{3} } \)
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10). If x + y = a and xy = b, then value of \( \Large \frac{1}{x^{3}}+\frac{1}{y^{3}} \) is
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