what is 4/9 to the power of 2 times 3/8 to the power of 2
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(4/9)^2 (3/8)^2=
(4/9)^2 * (3/8)^2 = (4/9 * 3/8)^2 = (1/6)^2 = 1/36
(4/9)^2 * (3/8)^2 = 16/81 * 9/64 = (9*16)/(81*64) = 9/81 * 16/64 = 1/9 * 1/4 = 1/36.
To find the value of (4/9)^2 * (3/8)^2, you need to perform the exponentiation first, then multiply the results.
Step 1: Calculate the exponents:
(4/9)^2 = (4/9) * (4/9) = 16/81
(3/8)^2 = (3/8) * (3/8) = 9/64
Step 2: Multiply the results:
(16/81) * (9/64) = (16 * 9) / (81 * 64) = 144 / 5184
Step 3: Simplify the fraction, if possible:
Both the numerator (144) and the denominator (5184) have a common factor of 144. Divide both by 144:
144/144 = 1
5184/144 = 36
Therefore, (4/9)^2 * (3/8)^2 is equal to 1/36.