geno3141

2^x  =  1/4   --->   2^x  =  2^-2   --->   x = -2

If all that you know about a triangle is that one of the angles is a right angle and the meansurement of one of the sides, you don't know enough to find the measures of the missing sides or missing angles.

If you want to use common fractions:

1.4  =  1 + 4/10  =  14/10

2/20  =  1/10            (reduce the fraction by dividing both the numerator and denominator by 2)

14/10 + 1/3 + 1/10

The common denominator is  10 x 3  =  30:

14/10 x 3/3  =  42/30

1/3 x 10/10  =  10/30

1/10 x 3/3  =  3/30

14/10 + 1/3 + 1/10  =  42/30 + 10/30 + 3/30  =  [42 + 10 + 3] / 30  =  55/30  =  11/6

If you want to use decimal fractions:

1.4 + 1/3 + 2/20  =  1.4 + 0.33333... + 0.1  =  1.8333...

When you divide common fractions, multiply by the reciprocal:

(3/12) / (4/21)  =  (3/12) x (21/4)  =  (3 x 21) / (12 x 4)  =  63/48  =  21/16

According to an online currency calculator, the current value of 100 Mexican Pesos is $6.77 U.S.

According to  www.wolframalpha.com/calculators/integral-calculator

the answer is:  [ log(t² + √2t + 1) - log(-t² + √2t - 1) ] / [ 2√2 ]

0.0829  =  8.29 x 10^-2

Move the decimal point until it immediately follows the first non-zero digit. Since the decimal point was moved two places to the right (the number is smaller than 1), the exponent will be negative two.

√32  =  32^1/2

(32^1/2)⁴  =  32²                         (when raising an exponent to an exponent, multiply the exponents)

5·32²  =  5·1024  =  5120 

(2x⁴/3)³  =  2³ · (x⁴)³ / 3³  =  8 · x¹² / 27

To divide fractions, multiply by the reciprocal -- the reciprocal of 1/8 is 8/1:

     (3/4) ÷ (1/8)  =  (3/4) x (8/1)  =  (3 x 8) / (4 x 1)  =  24 / 4  =  6