Find the value of ‘p’ if 5p-3 × 32p - 8 = 225. from Math

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Number Systems

Short Answer Type

121. Simplify the following by rationalising the denominators

fraction numerator 2 square root of 3 over denominator square root of 3 minus square root of 2 end fraction plus fraction numerator 3 square root of 2 over denominator square root of 3 plus square root of 2 end fraction.

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122.

Find 64^1/2

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123.

Find 32^1/5

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124.

Find 125^1/3

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125.

Find 9^3/2

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126.

Find 9^3/2

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127.

Find 16^3/4

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128.

Find 125^-1/3

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129. Find the value of ‘p’ if 5^p-3 × 3^{2p - 8} = 225.

5^{p - 3}× 3^{2p - 8} = 225
⇒ 5^{p - 3}× 3^{2p - 8} = 5² × 3²⇒ p – 3 = 2
2p - 8 = 2
⇒ p = 5

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130. Find a point corresponding to

3 plus square root of 2

on the number line.

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